12 P(4)- 25x 12 12 0.12 25(4) 100 Illustrating this in a table would give as: 1 3 4 P(X) 0.48 0.24 0.16 0.12 The probability of each value of the random variable lies between 0 and 1 and the sum of its probabilities is equal to 1 or EP(X) -1. Therefore, this is a probability distribution. What's More Independent Activity 1 A. Determine whether the distribution represents a probability distribution or not. Explain your answer. X 8. P(X) 4. 4. 4 6. 1 P(X) 6. 6. 3 1 3 5. 7 P(X) 0.35 0.25 0.22 0.12 4. P(1)-0.42, P(2)-0.31, P(3)-0.37 5. P(1)= , P(2)= P(3)=

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25(3)
P(4)- 12- 12
25x 25(4)
12. 0.12
100
Illustrating this in a table would give as:
3
0.16
4
P(X)
1
0.48
2
0.24
0.12
The probability of each value of the random variable lies between 0 and 1 and the
sum of its probabilities is equal to 1 or EP(X) =1. Therefore, this is a probability
distribution
What's More
Independent Activity 1
A. Determine whether the distribution represents a probability distribution or not.
Explain your answer.
X
1
5
7
8.
P(X)
8.
4.
3
2
1
2
4
6
1
1
P(X)
3
3
5
7
P(X)
0.35
0.25
0.22
0.12
4. P(1)-0.42, P(2)-0.31, P(3)-0.37
5. P(1)= , P(2)- P(3)=
B. Determine whether the following can serve as the probability distribution of a
random variable X.
1. P(X)= for x= 1,2,3,..7
2. P(X)- 2
X-2
for x- 1,2,3,4,5
Independent Activity II
Number of Girls
Let X be a random variable giving the number of girls in a randomly selected three-
child family. Assuming that boys and girls are equally likely to be selected, illustrate
the probability distribution of a random variable X.
Independent Activity III
Rolling Two Dice
Using the sample space for rolling two dice, illustrates a probability distribution for
the random variable X representing the sum of the numbers that appear.
Independent Activity IV
Face Mask
Julia is a boutique shop owner in her town. Due to COVID-19 pandemic, wearing a
face mask of a person is required for their safety. Since there are limited stocks
available, she decided to start another business by making a face mask. She started
selling face masks from day 1 to day 10. The data she collected is shown in the table
below.
Illustrate a probability distribution of a random variable X showing the number of
face mask sold per day and its corresponding probabilities.
+
Day
Number of Face Mask (X)
25
20
3
15
4
14
15
10
7
12
8.
10
15
10
14
What I Have Learned
Give your answer in the following statements.
1. It is the list of possible values of a random variable X and the corresponding
probabilities of the values.
2. What is the sum of all the probabilities of all values of the random variable?
3. What should be the probability of each value of the random variable? Write
Transcribed Image Text:25(3) P(4)- 12- 12 25x 25(4) 12. 0.12 100 Illustrating this in a table would give as: 3 0.16 4 P(X) 1 0.48 2 0.24 0.12 The probability of each value of the random variable lies between 0 and 1 and the sum of its probabilities is equal to 1 or EP(X) =1. Therefore, this is a probability distribution What's More Independent Activity 1 A. Determine whether the distribution represents a probability distribution or not. Explain your answer. X 1 5 7 8. P(X) 8. 4. 3 2 1 2 4 6 1 1 P(X) 3 3 5 7 P(X) 0.35 0.25 0.22 0.12 4. P(1)-0.42, P(2)-0.31, P(3)-0.37 5. P(1)= , P(2)- P(3)= B. Determine whether the following can serve as the probability distribution of a random variable X. 1. P(X)= for x= 1,2,3,..7 2. P(X)- 2 X-2 for x- 1,2,3,4,5 Independent Activity II Number of Girls Let X be a random variable giving the number of girls in a randomly selected three- child family. Assuming that boys and girls are equally likely to be selected, illustrate the probability distribution of a random variable X. Independent Activity III Rolling Two Dice Using the sample space for rolling two dice, illustrates a probability distribution for the random variable X representing the sum of the numbers that appear. Independent Activity IV Face Mask Julia is a boutique shop owner in her town. Due to COVID-19 pandemic, wearing a face mask of a person is required for their safety. Since there are limited stocks available, she decided to start another business by making a face mask. She started selling face masks from day 1 to day 10. The data she collected is shown in the table below. Illustrate a probability distribution of a random variable X showing the number of face mask sold per day and its corresponding probabilities. + Day Number of Face Mask (X) 25 20 3 15 4 14 15 10 7 12 8. 10 15 10 14 What I Have Learned Give your answer in the following statements. 1. It is the list of possible values of a random variable X and the corresponding probabilities of the values. 2. What is the sum of all the probabilities of all values of the random variable? 3. What should be the probability of each value of the random variable? Write
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