Question: A random variable is Poisson distributed with = 0.02 occurrences per minute. For the corresponding exponential distribution, and x = minutes until the next

A random variable is Poisson distributed with λ = 0.02 occurrences per minute. For the corresponding exponential distribution, and x = minutes until the next occurrence, identify the mean of x and determine the following:
a. P(x ≥ 30.0)
b. P(x ≥ 40.0)
c. P(x ≥ 50.0)
d. P(x ≥ 60.0)

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