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, 42% 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 four adults, none is concerned that employers are monitoring phone calls. (Round your answer to three decimal places.) (b) Out of four adults, all are concerned that employers are monitoring phone calls. (Round your answer to three decimal places.) (c) Out of four adults, exactly two are concerned that employers are monitoring phone calls. (Round your answer to three decimal places.)
Probability of adults that are concerned that employers are monitoring phone calls, p =0.42
Probability of adults that are not concerned that employers are monitoring phone calls, q = 1 - 0.42 = 0.58
n= 4
Binomial distribution:
a) Probability that none of the 4 adults is concerned that employers are monitoring phone calls, P(X=0)
b) Probability that all 4 adults are concerned that employers are monitoring phone calls, P(X = 4)
c) Probability that exactly 2 adults are concerned that employers are monitoring phone calls, P(X = 2)
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