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Poisson Probability

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1. The number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM has a probability distribution with a mean of 4.

a. What type of probability distribution is appropriate for this problem?
b. Determine the probability of getting no calls between eight and nine in the morning. .
c. Calculate the probability of getting exactly five calls between eight and nine in the morning
d. What will be the expected number of calls received by the office during this time?
e. What will be the standard deviation of calls received by the office during this time?

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Solution Summary

The solution provides step by step method for the calculation of Poisson probabilities. Formula for the calculation and Interpretations of the results are also included.

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Poisson distribution
1. The number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM has a probability distribution with a mean of 4.
Answers
Let X be the number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM. Clearly X is Poisson with mean  = 4. The probability density function of Poisson random variable is given by The probabilities for different values of X are given ...

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