The Denver Post reported that a recent Audit of Los Angeles 911 calls showed that 85% were not emergencies. Suppose the 911 operators in Los Angeles have just received six calls.   (a) What is the probability that all six calls are, in fact, emergencies? (Round your answer to five decimal places.) (b) What is the probability that two or more calls are not emergencies? (Round your answer to five decimal places.) (c) What is the smallest number of calls that the 911 operators need to answer to be at least 97% (or more) sure that at least one call is, in fact, an emergency? (Enter your answer as a whole number.)  calls

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The Denver Post reported that a recent Audit of Los Angeles 911 calls showed that 85% were not emergencies. Suppose the 911 operators in Los Angeles have just received six calls.

 
(a) What is the probability that all six calls are, in fact, emergencies? (Round your answer to five decimal places.)


(b) What is the probability that two or more calls are not emergencies? (Round your answer to five decimal places.)


(c) What is the smallest number of calls that the 911 operators need to answer to be at least 97% (or more) sure that at least one call is, in fact, an emergency? (Enter your answer as a whole number.)
 calls
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X~Binomial (n , p)

This question can be answered with the help of binomial distribution.

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