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A random variable is Poisson distributed with 0 50

A random variable is Poisson distributed with λ = 0.50 arrivals per minute. For the corresponding exponential distribution, and x = 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)

a. P(x ≤ 0.5)

b. P(x ≤ 1.5)

c. P(x ≥ 2.5)

d. P(x ≥ 3.0)

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