Question

Suppose people arrive at a hospital’s emergency department at a rate of 1 every 5.2 minutes....

Suppose people arrive at a hospital’s emergency department at a rate of 1 every 5.2 minutes. What is the probability that a person arrives within the next 3.6 minutes? Round your answer to 4 decimal places.

Math   Statistics-And-Probability   
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Answer #1

When we want to predict the probability of certain events in a fixed interval of time, Poisson distribution follows. The probability mass function of Poisson distribution is,

where k = observed value of X and lambda = expected value of X

Given:

1 person arrives in 5.2 minutes hence the expected value that a person arrives in 3.6 minutes is,

Now,

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