Independent Activity 1 A. Determine whether the distribution represents a probability distribution or not. Explain your answer. 1 5 7 8 P(X) 8. 4. 2. 3 6. P(X) 3. 7 0.12 P(X) 0.35 0.25 0.22 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 for x- 1,2,3,4,5 1114

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Independent Activity 1
A. Determine whether the distribution represents a probability distribution or not.
Explain your answer.
1
1
7
8
P(X)
4.
X
2
4
1
P(X)
3
1
P(X)
035
0.25
0.22
О.12
4. P(1)=0.42, P(2)=0.31, P(3)=0.37
5. P(1)= 2, P(2)=
35
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. Р(X)-
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
15
4
14
15
10
12
8
10
15
10
14
Transcribed Image Text:What's More Independent Activity 1 A. Determine whether the distribution represents a probability distribution or not. Explain your answer. 1 1 7 8 P(X) 4. X 2 4 1 P(X) 3 1 P(X) 035 0.25 0.22 О.12 4. P(1)=0.42, P(2)=0.31, P(3)=0.37 5. P(1)= 2, P(2)= 35 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. Р(X)- 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 15 4 14 15 10 12 8 10 15 10 14
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