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, 49% 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.)

Answer 1

Using the binomial distribution formula, we can calculate the probability of getting zero adults out of five concerned about employers monitoring phone calls:

P(X = 0) = (5 choose 0) * 0.49^0 * (1-0.49)^(5-0) = 0.174

Where "5 choose 0" is the number of ways to choose 0 adults out of 5, equal to 1.

Therefore, the probability of none out of five adults being concerned that employers are monitoring phone calls is 0.174, rounded to three decimal places.