Consider the previous question above, A further study determined that cars arrive to this shopping center according to a non-stationary Poisson process. The mean arrival rate increases linearly from 0.17 to 0.49 cars per minute between 10 am and 2 pm. Then the rate remains constant at 0.49 cars per minute between 2 pm and 4 pm. Finally, the rate changes to a constant 0.33 cars per minute between 4 pm and 5 pm. What is the probability that 60 cars will arrive between 1:45 pm and 4:15 pm?

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A: Answer: Given that:p=0.35   n=12  now  will  use  Binomial  probability P(X=x)=nx*Px*(1–P)n–x,where…

Q: Which type of distribution can the Poisson model be used to approximate? When would you do this?

A: We need to use the concept of approximations

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A:

Q: The

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Q: If E denotes the expectation the variance of a random variable X is denoted as

A: Here use mean and Variance of random variable X

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A: We have to find given probability.

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Q: Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain…

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Q: If ‘m’ is the mean of a Poisson Distribution, then variance is given by _________

A: Given  that  Mean = m X~poisson (m)

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A: Given; Arrival rate, λ=6/hr = 660 mins = 0.1min Service rate, μ=12 minutes

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