Question: Law enforcement: Property Crime

Does crime pay? The FBI Standard Survey of Crimes showed that 80% of all property crimes ( Burglery , larceny Etc.) the criminals are never found and the case never solved. Suppose that a neighborhood district in a large city has repeated crimes, but not always the same criminals. The police are investigating six property crimes in this district.

A) What is the probability that none of the crimes will ever be solved?

B) What is the probability that at least one crime will be solved?

C) What is the expected number of crimes that will be solved? What is the standard deviation?

(a) What is the probability that none of the crimes will ever be solved?

(b) What is the probability that at least one crime will be solved?

(c) What is the expected number of crimes that will be solved? What is the standard deviation?