Question

Suppose that a city has two hospitals. Hospital A has about 100 births per day, while Hospital B has only about 20 births per day. Assume that each birth is equally likely to be a boy or a girl. Suppose that for one year you count the number of days on which a hospital has 60% or more of that day's births turn out to be boys. Which hospital would you expect to have more such days?

Answer 1

Answer:-

Given That:-

Suppose that a city has two hospitals. Hospital A has about 100 births per day, while Hospital B has only about 20 births per day. Assume that each birth is equally likely to be a boy or a girl. Suppose that for one year you count the number of days on which a hospital has 60% or more of that day's births turn out to be boys.

Which hospital would you expect to have more such days?

Out of 100 for 1st hospital probability that more than 60 child(60%) will be boys=1-probability of having less then 60 boys

from binomial here p=0.5

=0.0176

Similarly out of 20 for 2nd hospital probability that more than 20 child(60%) will be boys=0.131588

here probability for 2nd hospital is more then 60% boys.

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