Suppose that the number of customers arriving each hour at the only checkout counter at a local convenience store is approximately Poisson distributed with an expected arrival rate of 30 customers per hour. Let X represent the number of customers arriving per hour. The probabilities associated with X are shown below.
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P(X< 5) = 0.0000, P(X< 10) = 0.0000, P(X< 15) = 0.0009
P(X< 20) = 0.0219, P(X< 25) = 0.1572, P(X< 30) = 0.4757
P(X = 30) = 0.0726, P(X = 31) = 0.0703, P(X = 32) = 0.0659
P(X = 33) = 0.0599, P(X = 34) = 0.0529, P(X = 35) = 0.0453
What is the probability that the number of customers who arrive at this checkout counter in a given hour will be between 30 and 35 (inclusive)?
What will be an ideal response?
0.3669
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