Use the binomial distribution formula to calculate the probability of the following

Question

Are your finances, buying habits, medical records, and phone calls really private? A real concern for many adults is that computers and the Internet are reducing privacy. A survey conducted by Peter D. Hart Research Associates for the Shell Poll was reported in USA Today. According to the survey, 36% of adults are concerned that employers are monitoring phone calls. Use the binomial distribution formula to calculate the probability of the following

(a) Out of five adults, none is concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)

(b) Out of five adults, all are concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)

(c) Out of five adults, exactly three are concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)

Answer 1

These are all applications of the binomial distribution with p=.36.

I will leave the 1st 2 to you.

The 3rd one is ₅C₃*(.36)³(.64)², where ₅C₃ is the binomial coefficient of 5 pick 3.