1. Suppose customers arrive at a drive-thru window according to a Poisson process with a rate a = 5.9 per hour, so the number of arrivals during a timer period of t hours is a Poisson random variable with parameter μ = 5.9t. a) What is the probability that exactly 6 customers arrive during a 1-hour period? b) What is the probability that at least 7 customers arrive during a 1-hour period? c) What is the probability that at most 10 customers arrive during a 2-hour period? d) What is the probability that at least 12 customers arrive during a 2-hour period?

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Just c and d please. 

1. Suppose customers arrive at a drive-thru window according to a Poisson process with a
rate a = 5.9 per hour, so the number of arrivals during a timer period of t hours is a
Poisson random variable with parameter μ = 5.9t.
a) What is the probability that exactly 6 customers arrive during a 1-hour period?
b) What is the probability that at least 7 customers arrive during a 1-hour period?
c) What is the probability that at most 10 customers arrive during a 2-hour period?
d) What is the probability that at least 12 customers arrive during a 2-hour period?
Transcribed Image Text:1. Suppose customers arrive at a drive-thru window according to a Poisson process with a rate a = 5.9 per hour, so the number of arrivals during a timer period of t hours is a Poisson random variable with parameter μ = 5.9t. a) What is the probability that exactly 6 customers arrive during a 1-hour period? b) What is the probability that at least 7 customers arrive during a 1-hour period? c) What is the probability that at most 10 customers arrive during a 2-hour period? d) What is the probability that at least 12 customers arrive during a 2-hour period?
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