Business stats

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Grand Asian University, Sialkot
Faculty of Science
Department of Computer Science
Mid Semester (Spring 2023) Examination
Program: ADP / BS Program Name: computer science
Course Code: MTH-163 Course Title: Probability & Statistics
Teacher’s Name: SAIMA ATIF Total Marks: 05
Date & Time: 14-07-23/2.00PM-3.30PM Total Time: 10 Minute
Candidate's Name: Roll No.:
Candidate's Signature Obtained Marks: (Objective Part)
Candidates are advised to read and follow these instructions:
1. Write your Roll Number and other relevant information on this question sheet and on the cover page of the answer book
provided for subjective part..
2. Attempt Objective Part on this Question Sheet while the Subjective Part on the Answer Book provided.
3. Do not share/borrow stationery items and calculator during the examination.
4. Manage your time according to the marks allotted to the respective questions.
5. Please ensure that the area in your threshold is clean. You will be charged//Punished for any material which can be classified as
‘helping in the paper’ found near you.
6. Mobile phones/Books/Notes or any other helping material is not allowed in the Examination Hall.
7. The marks for each question are written in parentheses ( ).
Objective Part
Question 1: Choose the right options from the following statements. (0.5*10=5 Marks )
1. Ifan rolls a fair dice, with sides labeled A, B, C, D, E and F. What is the probability that the dice
lands on a vowel?
a).1/6 b) 2/6 c). ½ d).2/3
2. Max tested a coin to see whether it was fair. The table shows the results of his coin toss
experiment:
Heads Tails
26 41
What is the relative frequency of the coin landing on heads?
a).1/2 b).26/67 c).26/41 d).26/100
3. Alice has some red balls and some black balls in a bag. Altogether she has 25 balls. Alice picks
one ball from the bag. The probability that Alice picks a red ball is x and the probability that Alice
picks a black ball is 4x. Work out how many black balls are in the bag.
a).6 b).100 c).20 d).5
4. A restaurant offers the following options:
Starter – soup or salad
Main – chicken, fish or vegetarian
Dessert – ice cream or cake
How many possible different combinations of starter, main and dessert are there?
a).7 b).12 c).8 d).27
P.T.O

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5. There are 18 girls and 12 boys in a class. 2/9 of the girls and 1/4 of the boys walk to school. One of
the students who walks to school is chosen at random. Find the probability that the student is a boy.
a).12/30 b).3/7 c).1/4 d).3/12
6. Rachel flips a biased coin. The probability that she gets two heads is 0.16. What is the probability
that she gets two tails?
a).0.840 b).0.60 c).0.360 d).0.7056
7. A fair coin is tossed three times. Work out the probability of getting two heads and one tail.
a).1/8 b).3/8 c).1/2 d).1/6
8. Sam asked 50 people whether they like vegetable pizza or pepperoni pizza.
37 people like vegetable pizza.
25 people like both.
3 people like neither.
Sam picked one of the 50 people at random. Given that the person he chose likes pepperoni pizza,
find the probability that they don’t like vegetable pizza.
a).12/50 b).3/50 c).12/35 d).10/35
9. In a web-based survey, customers are asked to rate your company’s product on the following
scale: Excellent, good, average, poor.
(a) Continuous (b) Ordinal
(c) Nominal (d) None of the above
10. In the same survey, customers are asked to provide their gender: male or female.
(a) Continuous (b) Ordinal
(c) Nominal (d) None of the above

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Grand Asian University, Sialkot
Faculty of Science
Department of Computer Science
Mid Semester (Spring 2023) Examination
Program: ADP / BS Program Name: Computer Science
Course Code: MTH-163 Course Title: Probability and Statistics
Teacher’s Name: SAIMA ATIF Total Marks: 20
Date & Time: 14-07-23/2.00-3.30 pm Total Time: 80 Minutes
Candidate's Name: Roll No.:
Subjective Part
Attempt all questions (2.5x4=10 Marks)
Question 1. There are 3 arrangements of the word DAD, namely DAD, ADD, and DDA. How many
arrangements are there of the word PROBABILITY?
Question 2. a).There are six flowers and seven cases in a shop. If four flowers and four
cases are chosen and paired off, how many pairings are possible?
b) Find x and y so that the ordered data set has a mean of 42 and a median of 35.
17 , 12 , 26 , 30 , 34 , x , 42 , 67 , 70 , y
Question 3: Twenty four people had a blood test and the results are shown below.
A , B , B , AB , AB , B , O , O , AB , O , B , A
AB , A , O , O , AB , B , O , A , AB , O , B , A
a) Construct a frequency distribution for the data.
b) If a person is selected randomly from the group of twenty four people, what is the
probability that his/her blood type is not O?
Question 4: Define Statistical Science? Discuss the importance and limitations of Statistics.
Attempt all questions (2*5=10 marks).
Question 5. A sample of size 40 yields the following sorted data.
14.1 46.0 49.3 53.0 54.2 54.7 54.7
54.7 54.8 55.4 57.6 58.2 58.3 58.7
58.9 60.8 60.9 61.0 61.1 63.0 64.3
65.6 66.3 66.6 67.0 67.9 70.1 70.3
72.1 72.4 72.9 73.5 74.2 75.3 75.4
75.9 76.5 77.0 ,88.9,88.9
(a) Calculate range, IQR, and median of these data.
(b) Given that the mean of these data is 63.50 (exactly) and the standard deviation is 12.33, what
proportion of the data lie within one standard deviation of the mean?
(c) How does your answer to (b) compare to the empirical rule approximation