Health and Wellness Assume that the gender distribution of

Elementary Statistics: A Step By Step Approach | 9th Edition | ISBN: 9780073534985 | Authors: Allan Bluman

Problem 4DP Chapter 4

Elementary Statistics: A Step By Step Approach | 9th Edition

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Elementary Statistics: A Step By Step Approach | 9th Edition | ISBN: 9780073534985 | Authors: Allan Bluman

Elementary Statistics: A Step By Step Approach | 9th Edition

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Problem 4DP

Health and Wellness Assume that the gender distribution of babies is such that one-half the time females are born and one-half the time males are born. In a family of 3 children, what is the probability that all are girls? In a family of 4? Is it unusual that in a family with 4 children all would be girls? In a family of 5?

Step-by-Step Solution:

Step 1 of 4:

In a family the gender distribution of babies is such that one -half the time females are born and one-half the time males are born.

We have to find the following.

In a family of 3 children, the probability that all are girls.In a family of 4 children, the probability that all are girls.We have to determine whether it is an unusual that in a family with 4 children all would be girls.We have to determine whether it is an unusual that in a family with 5 children all would be girls.

Step 2 of 4 :

It is given that, there is equal probability that females are born and males are born.

                           P (that females are born) = P (that males are born)

                                                                       =

Here the birth of each children are independent events.

By the multiplication rule of independent events:

1)

In a family of 3 children, the probability that all are girls.

                                     Required probability =

                                                                       = (

                                                                      = 

                                                                      = 0.125

Therefore, the probability that all are girls is 0.125.

Step 3 of 4

Chapter 4, Problem 4DP is Solved
Step 4 of 4

Textbook: Elementary Statistics: A Step By Step Approach
Edition: 9th
Author: Allan Bluman
ISBN: 9780073534985

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Health and Wellness Assume that the gender distribution of

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