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2. The waiting time between arrivals at a Wendy’s drive-through follows an exponential distribution with ?...

2. The waiting time between arrivals at a Wendy’s drive-through follows an exponential distribution with ? = 15 minutes. What is the distribution of the number of arrivals in an hour?

a. Poisson random variable with μ=15

b. Poisson random variable with μ=4

c. Exponential random variable with ?=15

d. Exponential random variable with ?=4

Math   Statistics-And-Probability   
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Answer #1

Answer:-

Given that:-

2. The waiting time between arrivals at a Wendy’s drive-through follows an exponential distribution with ? = 15 minutes.

What is the distribution of the number of arrivals in an hour?

an exponential distribution with ? = 15 minutes.

arrival every 15 minutes

4 arrival every 60 minutes (1 hour)

b. Poisson random variable with μ=4

Answer is Option b)Poisson random variable with μ=4

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