In a market research survey of 2982 motorists, 291 said that they made an obscene gesture in the previous month. Complete part a & b below.
a. If 1 of the surveyed motorists is radomly selected, what is the probability that this motorist did not make an obscene gesture in the previous month?
The probability is .9024 (Round to four decimal places as needed.)
b. If 45 of the surveyed motorists are randomly selected without​ replacement, what is the probability that none of them made an obscene gesture in the previous​ month? Should the​ 5% guideline be applied in this​ case? Select the correct choice below and fill in the answer box within your choice.
​(Round to four decimal places as​ needed.)
A. The probability is ______. The​ 5% guideline should be applied in this case.
B. The probability is ______. The​ 5% guideline should not be applied in this case.
Please show work.
Part A is correct. Cannot figure out Part B.