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#1 A post office is run by two clerks. Mr. Smith enters the office and finds...

#1 A post office is run by two clerks. Mr. Smith enters the office and finds the two clerks busy serving Mr. Jones and Mr. Brown. The amount of time a clerk spends with a customer is exponentially distributed with mean 20 minutes. (a) What is the probability that, out of the three customers Mr. Smith is the last to leave the post office? (b) What is the probability that Mr. Smith waits for 30 minutes before being served?

#2 The weight of individuals who seek a helicopter ride in a park is 180 lb with a standard deviation of 5 lb. The helicopter can carry five persons but has a maximum weight capacity of 1000 lb. What is the probability that the helicopter cannot fly with five persons aboard?

#3 Suppose independent trials, each having a probability p of being a success, are performed until k success occur. What is the probability that n trials are performed?

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