# Question: A random variable is Poisson distributed with 1 5

A random variable is Poisson distributed with λ = 1.5 occurrences per hour. For the corresponding exponential distribution, and x = hours until the next occurrence, identify the mean of x and determine the following:

a. P(x ≥ 0.5)

b. P(x ≥ 1.0)

c. P(x ≥ 1.5)

d. P(x ≥ 2.0)

a. P(x ≥ 0.5)

b. P(x ≥ 1.0)

c. P(x ≥ 1.5)

d. P(x ≥ 2.0)

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