Question

Assume that when an adult is randomly​ selected, the probability that they do not require vision correction is 27​%. If 9 adults are randomly​ selected, find the probability that exactly 2 of them do not require a vision correction. If 9 adults are randomly​ selected, the probability that exactly 2 of them do not require a vision correction is 0. ​(Round to three decimal places as​ needed.)

Answer 1

We have

Assume that when an adult is randomly selected , the probability that they do not require vision correction is 27%

Thus p=0.27

If 9 adults are randomly selected

Therefore n=9

Here adults are independent to each other hence this is Binomial Distribution with parameters n=9 and p =0.27

Probability that exactly 2 of them do not require vision correction,

Thus P(X=2)= 0.290