SOLUTION: Does crime pay? The FBI Standard Survey of Crimes showed that for about 80% of all property crimes (burglary, larceny, car theft, etc.), the criminals are never found and the case

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Question 375694: Does crime pay? The FBI Standard Survey of Crimes showed that for about 80% of all property crimes (burglary, larceny, car theft, etc.), the criminals are never found and the case is never solved†. Suppose a neighborhood district in a large city suffers repeated property crimes, not always perpetuated by the same criminals. The police are investigating sixteen property crime cases in this district.
What is the probability that none of the crimes will ever be solved? 0.028
What is the probability that at least one crime will be solved? 0.972
What is the expected number of crimes that will be solved? What is the standard deviation?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The answers to the first two questions are correct. Expectation = mu+=+n%2Ap+=+16%2A0.8+=+12.8, and SD+=+sqrt%28npq%29+=+sqrt%2816%2A0.8%2A0.2%29+=+1.6.