Question 1 Produce trucks arrive at the weigh station at the California border at a rate of 3 per hour according to a Poisson distribution. Livestock trucks arrive at that same weigh station at a rate of 2 per hour according to a Poisson distribution. What is the probability that the number of livestock trucks arriving at the weigh station in two hours is less than 3?

Question 2 The fraction nonconforming of assembled parts is under investigation. A completely randomized sample of 150 parts has been tested revealing that 8 are nonconforming. Can it be concluded that the fraction of nonconforming parts is greater than 0.05? Use Type I error of .01. Show ALL work, hypothesis, computations, rationale, and clearly state your conclusion.

Question 3 An average of 10 cars per hour arrive at a single server drive in bank teller. The inter arrival time is distributed exponentially. The average service time for each customer is exponentially distributed with a mean of 4 minutes. What fraction of the time is the server idle?