The Smith family was one of the first to come to the U.S.They had 4 children. Assuming that the probability of a childbeing a girl is .5, find the probability that the Smith familyhad:at least 2 girls?at most 3 girls?

Answered: at least 2 girls? at most 3 girls?

Math

Probability

at least 2 girls? at most 3 girls?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

The Smith family was one of the first to come to the U.S.
They had 4 children. Assuming that the probability of a child
being a girl is .5, find the probability that the Smith family
had:
at least 2 girls?
at most 3 girls?

Expert Solution

Step 1

From given data we have:

No. of children in the family = n = 4

P (of a child being girl ) = p = 0.5

X = The no. of girl children in the family,

then $X ~ B i n (n = 4, p = 0.5)$

Here, 'n' is finite, the children are selected independently and the value of 'p' remains the same

for each child!

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