4. VARIABEL RANDOM
PENGERTIAN
4
Fungsi yang mengawankan setiap titik sample dalam ruang sample S
dengan suatu bilangan real.
Misalkan : S ruang sample dari suatu percobaan fungsi X= S R
Dikawankan ke bilangan real.
5. VARIABEL RANDOM
CONTOH SOAL
5
Uang Logam dilemparkan sebanyak 3kali, carilah jumlah ruang sample
tersebut:….?
Jawab:
S= 23
= 2𝑥2𝑥2 = 8
Uang Logam : ANGKA & GAMBAR
6. VARIABEL RANDOM
CONTOH SOAL
6
1 2 3 S={S1,S2,S3,S4,S5,S6,S7,S8}
A A
A G S1=AAA
G A S2=AAG
G 8 S3=AGA
A A S4=AGG
G G S5=GAA
G A S6=GAG
G S7=GGA
S8=GGG
7. VARIABEL RANDOM
7
MISAL : X = S R diberikan oleh X(Si)
Banyaknya angka pada (Si):
X(S1) = 3 X(S6) = 1 X variable Random
X(S2) = 2 X(S7) = 1 A ={0,1,2,3,)
X(S3) = 2 X(S8) = 0
X(S4) = 2
X(S5) = 2
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9. 9
This can be the part of the presentation where you
introduce yourself, write your email…
Whoa
9
10. Mercury is the closest planet to
the Sun and the smallest one in
the entire Solar System. This
planet's name has nothing to do
with the liquid metal, since
Mercury was named after the
Roman messenger god
Despite being closer to the Sun
than Venus, its temperatures
aren't as terribly hot as that
planet's. Many of Mercury’s
craters were named after artists
or authors who made significant
contributions to their fields
10
Explaining probability
11. 11
What is data analysis?
Do you know what helps you make your point
crystal clear? Lists like this one:
❏ They’re simple
❏ You can organize your ideas clearly
❏ You’ll never forget to buy milk!
And the most important thing: the audience
won’t miss the point of your presentation
12. Mercury Venus
Mercury is the closest planet to
the Sun and the smallest one in
the Solar System—it’s only a bit
larger than the Moon
Venus has a beautiful name
and is the second planet from
the Sun. It’s hot and has a
poisonous atmosphere
12
Concepts in statistics
13. Mercury
Mercury is the
closest planet to the
Sun and the smallest
of them all
Venus has a
beautiful name and
is the second planet
from the Sun
Despite being red,
Mars is actually a
cold place. It’s full of
iron oxide dust
13
How do we use sampling?
Venus Mars
14. Mars
Mars is actually a very
cold place
Venus has extremely
high temperatures
Jupiter is the biggest
planet of them all
Saturn is a gas giant
and has several rings
14
Events in probability
Jupiter
Venus
Saturn
15. Types of variables in statistics
15
Mars is actually a very
cold place
Venus has extremely
high temperatures
Neptune is the farthest
planet from the Sun
Mercury is the closest
planet to the Sun
Saturn is a gas giant
with several rings
Jupiter is the biggest
planet of them all
Dependent Quantitative Continuous
Extraneous Qualitative Discrete
20. A picture always
reinforce the
concept
20
Images reveal large amounts of
data, so remember: use an image
instead of a long text. Your audience
will appreciate it.
22. 25%
Mercury is the closest
planet to the Sun and
the smallest of them all
50%
Venus has a beautiful
name and is the second
planet from the Sun
75%
Despite being red, Mars
is actually a cold place.
It’s full of iron oxide dust
22
Mercury Venus Mars
Let’s use some percentages
23. 23
You can replace the image on
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Computer
mockup
24. 24
You can replace the image on
the screen with your own work.
Just right-click on it and select
“Replace image”
Tablet
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25. 25
You can replace the image on
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Just right-click on it and select
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Phone
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26. 26
This is a map
Venus is the second
planet from the Sun
Venus
Mercury is the closest
planet to the Sun
Mercury
Despite being red, Mars
is a very cold place
Mars
27. 27
A timeline always works well
Venus
Venus is the second
planet from the Sun
Mercury
Mercury is the closest
planet to the Sun
Mars
Despite being red, Mars
is a very cold place
Jupiter
Jupiter is the biggest
planet of them all
28. 28
Infographics make your idea
understandable
Venus
Venus has extremely
high temperatures
Mercury
Mars is actually a
very cold place
Mercury is the closest
planet to the Sun
Saturn
Saturn is a gas giant
and has several rings
Mars
29. 29
Tables represent your data in a clear way
Mass
(earths)
Diameter
(earths)
Surface gravity
(earths)
Mercury 0.06 0.38 0.38
Mars 0.11 0.53 0.38
Saturn 95.2 9.4 1.16
30. 30
You can use this graph
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Mercury
Mercury is the
smallest planet
Jupiter
Jupiter is the
biggest planet
Venus
Venus has very
high temperatures
Saturn
Saturn is a gas
giant with rings
31. 31
Exercise 1. Frequency
In a class with 40 children in
total, they have been asked
about the number of times
they do sports per week.
Look at the chart and answer.
What frequency is repeated
the most?
12,5 %
37,5 %
7,5 %
42,5%
2 times
4 times
3 times
1 time
Follow the link in the graph to modify its data
and then paste the new one here. For more
info, click here
32. 32
Interpreting two-way tables
Salty Sweet
Boys 5 7
Girls 6 9
Water Juice
Boys 8 3
Girls 7 5
In a class, boys and girls have
been asked about their food
preferences. Look at both tables.
1. How many children prefer
to drink water? And juice?
2. How many girls are there in
the sweet/salty group?
33. 33
Exercise 2 . Complete the table
5 meals 4 or 3 TOTAL
Boys 25 40
Girls 30 40
In a class with 40 boys and 40
girls they have been asked
about the number of meals they
eat per day. Complete the gap.
34. 34
Interpreting two events in probability
A B
1
3
2
5
4
Look at the circles and name all
individual and common events from
cases A and B.
❏ A U B =
❏ …
❏ …
❏ …
35. 35
Roll the dice!
Number 1 2 3 4 5 6
Probability 0,12 0,14 0,16 0,17 0,21
By rolling a six-sided die we have
obtained the following results for each
number. Calculate the probability for
the number 5 and fill the gap.
36. 36
Choose your team!
Look at the graphic and calculate the
arithmetic mean and the distribution
range of the score obtained by the
following soccer teams.
Follow the link in the graph to modify its data
and then paste the new one here. For more
info, click here
37. 37
Exercise 3. Events in probability
3 4 5 6
7 5 8 9
2 4 2 1
Sure event Get a number less than 10
Impossible event
Possible event
Pay attention at the numbers and
times they appear. Then, complete the
table with 3 possible and impossible
events for each gap.
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