Question

According to a recent report, 66% of Internet searches in a particular month used the Google search engine. Assume that a sample of 22 searches is studied. Round the answers to at least four decimal places.

(a) What is the probability that exactly 19 of them used Google?

(b) What is the probability that 14 or fewer used Google?

(c) What is the probability that more than 19 of them used Google?

(d) Would it be unusual if fewer than 12 used Google?

It would/would not be unusual if fewer than 12 used google since the probability is____

Answer 1

Let X is a random variable shows the number of Internet searches in a particular month used the Google search engine. Here X has binomial distribution with parameters n=22 and p=0.66.

(A)

The  probability that exactly 19 of them used Google is

(B)

The probability that 14 or fewer used Google is

(C)

The  probability that more than 19 of them used Google is

(d)

The probability that fewer than 12 of them used Google is

Since this probability is greater than 0.05 so it not unusual if fewer than 12 used Google.

It would not be unusual if fewer than 12 used google since the probability is 0.0893.