Binomial distribution. surveys repeatedly show that about 40% of adults in the u. s. indicate that if they only had one child, they would prefer it to be a boy. suppose we took a random sample of 15 adults and the number who indicated they preferred a boy was 8. this would be considered a rare event because the probability of 8 or more is so low.

true/false

False

Step-by-step explanation:

We are given the following information:

We treat adult who prefer one child to be a boy as a success.

P(prefer one child to be a boy) = 40% = 0.4

Then the number of adults follows a binomial distribution, where

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15 and x = 8

We have to evaluate:

Since the probability of 8 or more is 0.2131 is not very small, thus, it is not a rare event.

Thus, the given statement is false.