A pollster asked 100 people "If money was not a factor, how many children would you like to have?" The results and their frequencies are shown in the (estimated) probability distribution function table below.

X - P (X)

0 -.25

1 -.26

2 -.29

3 -.15

4 -.05

What is the probability that the number of children a randomly selected person from this sample would like to have is less than the mean of X?

Question

Guy

Advanced Placement (AP)

7 January, 11:30

A pollster asked 100 people "If money was not a factor, how many children would you like to have?" The results and their frequencies are shown in the (estimated) probability distribution function table below.

X - P (X)

0 -.25

1 -.26

2 -.29

3 -.15

4 -.05

What is the probability that the number of children a randomly selected person from this sample would like to have is less than the mean of X?

+4

Answers (1)

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Kaden Ramsey · Answer 1

O. 15

Explanation: The missing probability, P (X = 0) = 1 - 0.26 - 0.29 - 0.15 - 0.05 = 0.25.

ux = (0) (0.25) + (1) (0.26) + (2) (0.29) + (3) (0.15) + (4) (0.05) = 1.49 children.

P (X < 1.49) = P (X = 0 or X = 1) = 0.25 + 0.26 = 0.51.