A home security system is designed to have a 99% reliability rate. Suppose that 15 homes equipped with this system experience an attempted burglary. Let x be the random variable denoting the homes equipped with this system experience an attempted burglary out of the 15 homes.  a. What is the probability distribution of x?  b. Find the probability that no alarms triggered. c. Find the probabilities of at least 8 alarms are triggered.  d. Find the mean and variance of x

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