Question: 7.54 A random variable is Poisson distributed with 5 0.50 arrivals per minute. For the corresponding exponential distribution, and x 5 minutes until the

7.54 A random variable is Poisson distributed with

5 0.50 arrivals per minute. For the corresponding exponential distribution, and x 5 minutes until the next arrival, identify the mean of x and determine the following:

a. P(x # 0.5)

b. P(x # 1.5)

c. P(x $ 2.5)

d. P(x $ 3.0)

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