Find the required probability and sample size for the binomial distribution.
Public Safety: 911 Calls the Denver Post reported that a recent audit of the Los Angeles 911 calls showed that 85% were not emergencies. Suppose that the 911 operators in Los Angeles have just received four calls.
a) What is the probability all four calls are in fact emergencies?
b) What is the probability that three or more calls are not emergencies?
c) How many calls n would the 911 operators need to answer to be 96% (or more) sure that at least one call was in fact an emergency?