A pollster asked 100 people “If money was not a factor, how many children would you like to have?” The results and their frequen

Question

3 years ago

11

A pollster asked 100 people “If money was not a factor, how many children would you like to have?” The results and their frequen

cies 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?

Advanced Placement (AP)

1 answer:

Aliun [14] · Answer 1 · 2022-06-25T10:01:15+03:00

Aliun [14]3 years ago

7 0

Answer:

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.