Chances: Risk and Odds in Everyday Life, by James Burke, reports that the probab

Question

Chances: Risk and Odds in Everyday Life, by James Burke, reports that the probability of a police officer will be killed in the line of duty is 0.90% (or less). What is n? What is p? What is to the nearest tenth? n p (b) What is the probability that no officer in this precinct will be killed in the line of duty? (Use 4 decimal places.) (c) What is the probability that one or more officers in this precinct will be killed in the line of duty? (Use 4 decimal places.) (d) What is the probability that two or more officers in this precinct will be killed in the line of duty? (Use 4 decimal places.)

Explanation / Answer

n = 1

p <=0.90

np <=0.90

lemda = np <=0.90

b) X - no of officers killed is Poisson with lemda=0.90

P(x=0) = 0.4065

c) P(X>=1) = 1-P(X=0)

= 0.5935

d) P(X>=2) = 0.2275

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