Problem 1
Problem 2
Problem 3
1. Find the probability that a normal standard variable is less than or equal 0.
2. Given a normal distribution with = 3 and = 0.5, find the probability that X assumes
a value less than or equal 2.3.
Problem 4
9 friends decide to “go for a drink” after an exam. What is the probability that the waitress will refuse to serve alcoholic beverages to only 2 minors if she randomly checks the IDs of 5 students from among 9 students of which 4 are not of legal age?
MGM 5700 Probability and Statistical Methods
Take-home Problems #2 Summer 2013
Problem 1 (25 points)
1. A random sample of 100 recorded deaths in the United States during the past year showed an
average life span of 71.8 years, with a standard deviation of 8.9 years. Does this seem to indicate that
the mean life span today is greater than 70 years? Use a 0.05 level of significance.
2. Calculate the 90% confidence interval for the average life span.
Problem 2 (25 points)
Independent random samples of 45 and 55 soft drinks are drawn from two soft-drink machines. Sample
average content and standard deviation were obtained for both samples. The sample data is presented
in the following table:
Machine 1 Machine 2
Sample size
Sample mean
45
11.84 oz
55
11.91 oz
Sample stand. dev. 0.046 oz 0.044 oz
Do the data present sufficient evidence to indicate that the mean for the machine 1 is smaller than the
mean for the machine 2? Use a 0.05 level of significance.
MGM 5700 Probability and Statistical Methods
Take-home Problems #2 Summer 2013
Problem 1 (25 points)
1. A random sample of 100 recorded deaths in the United States during the past year showed an
average life span of 71.8 years, with a standard deviation of 8.9 years. Does this seem to indicate that
the mean life span today is greater than 70 years? Use a 0.05 level of significance.
2. Calculate the 90% confidence interval for the average life span.
Problem 2 (25 points)
Independent random samples of 45 and 55 soft drinks are drawn from two soft-drink machines. Sample
average content and standard deviation were obtained for both samples. The sample data is presented
in the following table:
Machine 1 Machine 2
Sample size
Sample mean
45
11.84 oz
55
11.91 oz
Sample stand. dev. 0.046 oz 0.044 oz
Do the data present sufficient evidence to indicate that the mean for the machine 1 is smaller than the
mean for the machine 2? Use a 0.05 level of significance.
MGM 5700 Probability and Statistical Methods
Take-home Problems #2 Summer 2013
Problem 1 (25 points)
1. A random sample of 100 recorded deaths in the United States during the past year showed an
average life span of 71.8 years, with a standard deviation of 8.9 years. Does this seem to indicate that
the mean life span today is greater than 70 years? Use a 0.05 level of significance.
2. Calculate the 90% confidence int.
Problem 1Problem 2Problem 3 1. Find the probabilit.docx
1. Problem 1
Problem 2
Problem 3
1. Find the probability that a normal standard variable is less
than or equal 0.
probability that X assumes
a value less than or equal 2.3.
Problem 4
9 friends decide to “go for a drink” after an exam. What is
the probability that the waitress will refuse to serve alcoholic
beverages to only 2 minors if she randomly checks the IDs of 5
students from among 9 students of which 4 are not of legal age?
MGM 5700 Probability and Statistical Methods
Take-home Problems #2 Summer 2013
Problem 1 (25 points)
1. A random sample of 100 recorded deaths in the United States
during the past year showed an
average life span of 71.8 years, with a standard deviation of 8.9
2. years. Does this seem to indicate that
the mean life span today is greater than 70 years? Use a 0.05
level of significance.
2. Calculate the 90% confidence interval for the average life
span.
Problem 2 (25 points)
Independent random samples of 45 and 55 soft drinks are drawn
from two soft-drink machines. Sample
average content and standard deviation were obtained for both
samples. The sample data is presented
in the following table:
Machine 1 Machine 2
Sample size
Sample mean
45
3. 11.84 oz
55
11.91 oz
Sample stand. dev. 0.046 oz 0.044 oz
Do the data present sufficient evidence to indicate that the mean
for the machine 1 is smaller than the
mean for the machine 2? Use a 0.05 level of significance.
MGM 5700 Probability and Statistical Methods
Take-home Problems #2 Summer 2013
Problem 1 (25 points)
1. A random sample of 100 recorded deaths in the United States
during the past year showed an
average life span of 71.8 years, with a standard deviation of 8.9
years. Does this seem to indicate that
the mean life span today is greater than 70 years? Use a 0.05
level of significance.
2. Calculate the 90% confidence interval for the average life
span.
4. Problem 2 (25 points)
Independent random samples of 45 and 55 soft drinks are drawn
from two soft-drink machines. Sample
average content and standard deviation were obtained for both
samples. The sample data is presented
in the following table:
Machine 1 Machine 2
Sample size
Sample mean
45
11.84 oz
55
11.91 oz
Sample stand. dev. 0.046 oz 0.044 oz
Do the data present sufficient evidence to indicate that the mean
for the machine 1 is smaller than the
mean for the machine 2? Use a 0.05 level of significance.
MGM 5700 Probability and Statistical Methods
Take-home Problems #2 Summer 2013
Problem 1 (25 points)
1. A random sample of 100 recorded deaths in the United States
during the past year showed an
average life span of 71.8 years, with a standard deviation of 8.9
years. Does this seem to indicate that
the mean life span today is greater than 70 years? Use a 0.05
5. level of significance.
2. Calculate the 90% confidence interval for the average life
span.
Problem 2 (25 points)
Independent random samples of 45 and 55 soft drinks are drawn
from two soft-drink machines. Sample
average content and standard deviation were obtained for both
samples. The sample data is presented
in the following table:
Machine 1 Machine 2
Sample size
Sample mean
45
11.84 oz
55
6. 11.91 oz
Sample stand. dev. 0.046 oz 0.044 oz
Do the data present sufficient evidence to indicate that the mean
for the machine 1 is smaller than the
mean for the machine 2? Use a 0.05 level of significance.
MGM 5700 Probability and Statistical Methods
Take-home Problems #2 Summer 2013
Problem 1 (25 points)
1. A random sample of 100 recorded deaths in the United States
during the past year showed an
average life span of 71.8 years, with a standard deviation of 8.9
years. Does this seem to indicate that
the mean life span today is greater than 70 years? Use a 0.05
level of significance.
2. Calculate the 90% confidence interval for the average life
span.
Problem 2 (25 points)
Independent random samples of 45 and 55 soft drinks are drawn
7. from two soft-drink machines. Sample
average content and standard deviation were obtained for both
samples. The sample data is presented
in the following table:
Machine 1 Machine 2
Sample size
Sample mean
45
11.84 oz
55
11.91 oz
Sample stand. dev. 0.046 oz 0.044 oz
Do the data present sufficient evidence to indicate that the mean
for the machine 1 is smaller than the
mean for the machine 2? Use a 0.05 level of significance.
MGM 5700 Probability and Statistical Methods
Take-home Problems #2 Summer 2013
Problem 1 (25 points)
1. A random sample of 100 recorded deaths in the United States
during the past year showed an
average life span of 71.8 years, with a standard deviation of 8.9
years. Does this seem to indicate that
the mean life span today is greater than 70 years? Use a 0.05
level of significance.
8. 2. Calculate the 90% confidence interval for the average life
span.
Problem 2 (25 points)
Independent random samples of 45 and 55 soft drinks are drawn
from two soft-drink machines. Sample
average content and standard deviation were obtained for both
samples. The sample data is presented
in the following table:
Machine 1 Machine 2
Sample size
Sample mean
45
11.84 oz
55
11.91 oz
9. Sample stand. dev. 0.046 oz 0.044 oz
Do the data present sufficient evidence to indicate that the mean
for the machine 1 is smaller than the
mean for the machine 2? Use a 0.05 level of significance.
MGM 5700 Probability and Statistical Methods
Take-home Problems #2 Summer 2013
Problem 1 (25 points)
1. A random sample of 100 recorded deaths in the United States
during the past year showed an
average life span of 71.8 years, with a standard deviation of 8.9
years. Does this seem to indicate that
the mean life span today is greater than 70 years? Use a 0.05
level of significance.
2. Calculate the 90% confidence interval for the average life
span.
Problem 2 (25 points)
Independent random samples of 45 and 55 soft drinks are drawn
from two soft-drink machines. Sample
average content and standard deviation were obtained for both
samples. The sample data is presented
10. in the following table:
Machine 1 Machine 2
Sample size
Sample mean
45
11.84 oz
55
11.91 oz
Sample stand. dev. 0.046 oz 0.044 oz
Do the data present sufficient evidence to indicate that the mean
for the machine 1 is smaller than the
mean for the machine 2? Use a 0.05 level of significance.
Running Head: TECH V
1
TECH V
9
TECH V
Name
11. Tutor
Institution
Course
Date
1. Business Goals and Objectives
Google aims to be the best online company by ensuring that
they have the best search results and they should always be on
time. The company aims to ensure that all the people who use
the google get the best results that they want and in the within
the shortest time possible. The goal was created to ensure that
the employers in charge of the search engine would work hard
and make sure that their customers do not prefer any other
website that they can use to search for information. They will
thus endeavour to research, find out what other companies are
doing, even investigate, and find out the things that the
customers love about the search engines provided by google.
This will give them a chance to discover and even invent new
ways that google can adopt and ensure biggest customer
satisfaction. Although google is already a leader in terms of
searching for information, they want to set a good distance that
their competitors will have a hard time beating. This will ensure
that their consumers trust them completely and even advocate
others to use the site at any time for their own convenience.
Google has realised that for them to achieve the goal of creating
best search results they will have to invest in the google
laboratory that will ensure that they use artificial intelligence.
This will be an important tool in ensuring that the best results
appear first when a person types and enters anything in the
search engine. In the google laboratory, vital software will be
invented to ensure that this goal is achieved. The company will
12. also aim at creating the excellent artificial intelligence that is
found in the whole world so that it can have the capacity of
inventing anything with ease. Furthermore, the company aims at
increasing their multi-lingual ability so that they have the
capacity of serving even more people around the world and thus
achieve the goal of being the best search engine. The company
will also achieve the goal that they have set by ensuring that
they provide more trusted information that many people can use
anytime they have a query. They also envision providing quality
information and especially those that majority of their users
want.
1. IT Strategies aligned with business goals and objectives
The objectives that google has that are parallel to the goals of
the company includes the use of the artificial intelligence. This
is connected to IT as it functions to create a machine that will
enable google achieve goals that are still dreams that have never
been put into actions. This includes those technologies that have
never been tried and the laboratories create a place where this
dreams can be tested. The main advantage of using these
artificial technologies is that they can be used to create
technologies that will affect positively the population in
general. Moreover, the artificial technology laboratories are a
sure way to ensure that the goal of best search results that are
trusted and efficient are achieved. The laboratories that use the
technology are usually secretive to ensure that their competitors
do not dig in and find valuable technology still been
investigated and use it to their benefit and disadvantage to the
google company. The AI is also very essential to the google
company as it has the skills to solve the problems that google
experiences and those that the consumers want support in terms
of understanding how some applications work.
Another goal that will benefit greatly from the artificial
13. technology is the goal to support as many innovations as they
possibly can. This can be easily be achieved by the laboratory
because they will have the necessary tools to come up with the
innovations. Moreover, the laboratory will give the creators of
the innovations time and space to test their innovations and
make necessary changes to the loose knots in the creations that
they will be working with. This is very important in the growth
strategy of google because they will have a chance of creating
software and other projects that will better the work that google
provides to its consumers. The use of the laboratory that uses
the future technology gives its scientists a chance to use their
knowledge and creativity to inspire lives. The benefit of this IT
is that the scientists will have all the equipments necessary for
their innovations and thus promote inventions that offer quality
jobs when used by their customers.
2. Organizational Structure
The leadership structure of the google company is a hybrid of
two types of organizational structures because of the wide
number of customers that they have all over the world. The
organization of the company entails the division of leadership
based on the products that they sell and the location of the
various offices that they hold all over the world. This means
that all the places that google is used is well represented in their
organizational structure. Moreover, this kind of organizational
structure gives the new small innovations a platform for growth
because of the good representation they have. The two main
leaders of the company Larry Page and Brin have employed
people in managerial positions not because of the experience
they have in IT but rather their individual values and talents
that can help google grow more each day.
The culture of the google company is one to marvel at because
of the unique ways they carry out their business. They have a
slogan, 'do no evil' that is quite informal and not very easy to
14. edit. The slogan was agreed upon because they wanted to stand
out from their competitors who used their customers because
they were sure their evil ways could not easily be traced (Papp,
2013). The employees at the google company are treated very
well because they are seen as human beings with needs and
other lives apart from that which they do at google. This means
that google ensures that their employees receive food and
transport to and from their homes and these services are usually
free. After it was found out that, the employees received very
little wages from the ever-growing company, their salaries was
increased and their engineers are not paid more than those of
the Apple Company are. It is great motivation to all the
employees that will see them performing even better as they
know that their interests take centre stage. The comfort of the
employees is also very vital to the company and this made them
come up with a policy that it is not mandatory to sit behind a
desk to show that one is doing something important. Therefore,
comfortable sits and other amenities as tennis grounds and
swimming pools are located in the company to enable the
employees relax.
3. IT Infrastructure
The google company has grown exponentially and now it has
invented many products that include hardware that are used all
over the world (Laan, 2009). Hardware like the autonomous
cars, which is a project that is developed by an engineer at
google. The cars will be very useful especially to the population
that cannot be able to drive cars and this gives them a chance to
move from one place to another without help from other people.
The company believes that once the cars have gained popularity
it will take over the market. Another hardware that has been
invented by the company is Nexus 1. It is a mobile phone
invented by google and it uses the android system and offers
some of the best software at an affordable price. The phone is of
good quality and offers the customers a phone that can perform
15. major functions, which can be done by a computer.
Google Apps is software that was invented by the company and
it is very effective because it gives its clients an opportunity of
customizing the applications to serve them, as they would
require. This includes the Gmail, the google calendar and
software that can be used to read documents even from the
phone that could have otherwise taken a person a long time to
access them through a computer (Laan, 2009). Google calendar
is software that has been created by the google and its primary
function is to ensure that one is up to date with the events that
they have and it is usually important for the people that run
many businesses and need to be kept abreast with the dates that
they need to keep.
4. IT Challenges
The company although it has succeeded in many ways and
grown exponentially it has not missed its fair share of
challenges that have set them back many times. The IT
challenges that they are facing especially during searching is
comprehending natural language. This means that in a particular
language a word would mean differently from the natural
meaning it has to the British English (Akpan, 2009). The search
engine may understand the question wrongly and show search
results that the customer was not talking about. Moreover,
another challenge that IT is facing is turning the voice that they
hear into text and searching for the correct thing. This is
because a word can be pronounced very differently from the
way it is known by the google search engine. The words that the
software will hear will be very different and thus offer results
to things the customer did not ask for. This is usually a problem
as it causes frustration both to the customer and the google team
as well.
16. Another challenge that the company is facing is that national
security companies want to scrutinize some of the data that
google holds. They claim that when they are spying on the
applications and other software were people put their
information they only looking to secure and protect their
nations. They claim that looking for the truth and saying it as it
is should not be a bad thing because they are not spreading false
information. However, this is will not work well for the
company. This is because they could easily lose majority of
their clientele who will see google as not a trusted site where
they can keep their data safe.
Another problem that the company is facing is that some of
their products are being faced out or replaced very fast with
products from other companies. This is quite a challenge
because the products created by google are then easily replaced
and swept out of the market. This is not very good for the
business of the company because during the invention and
marketing of the product enough money was invested in it
(Papp, 2013). The product was viewed as an asset and they had
already estimated the returns the product will bring back to the
company. However, because of the fast growing technology
products are invented and sold very quickly reducing the time
anticipated for a product to sell. This way google makes losses
when they have no control of the market in general.
The risks that the google company has are keeping up with the
ever-growing users. This means that the equipment that they are
using needs to be expanded every now and then and this is quite
expensive in the end. However, they have no choice because of
they were to relax and still use their old equipments; their
competitors will beat them as their game. This is because of the
rapidly advancing technology that offers limitless ability for
growth. Another risk that is associated with the google company
is that the company relies on other companies for services like
data storage and bandwidth. This is a risk because the google
company has no authority over these companies, and in case of
17. damage they will have to wait until it is fixed for them to return
to their normal businesses. This means that many of their
services may be delayed and this will mean less customer
satisfaction that will affect the quality of the services that they
provide. This risk is not new to the company because many
times they have lost a lot of money when the companies they
rely on had damages or delays that affected their business. Due
to the ever-growing technologies methods could be invented in
how they can block some of the displays put in websites by
google. This is especially the adverts that run on the website
and that are the main source of revenue of the website. If the
advertisements were to be blocked the company would loss
many customers and this could affect their revenue. Moreover,
the security of some of their applications could be hacked into
and the important data stolen. This has a big risk because it
would chase away existing customers as well as new potential
customers because they would be fearful that their data would
be stolen or shared with other users. This is because some
customers want their privacy withheld and because of the
increased rates of hacking into the systems they will be less
trusting and therefore prefer other secure websites. This is
usually a big problem because of the large number of people
that google serves all over the world.
References
Akpan, Etido. (2009). Strategic Alignment: The Business
Imperative for Leading
Organizations. New York: Cenage Learning
Papp, Raymond. (2013).Strategic Information Technology:
Opportunities for Competitive
Advantage. London: Sage Publishers.
Laan, Sjaak. (2009). It Infrastructure Architecture -
Infrastructure Building Blocks and