(Opt.) The number of boating accidents on Lake Emilie

Chapter 5, Problem 28RE

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QUESTION:

Problem 28RE

(Opt.) The number of boating accidents on Lake Emilie follows a Poisson distribution. The probability of an accident is 0.003. If there are 1000 boats on the lake during a summer month, find the probability that there will be 6 accidents. (5−4)

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QUESTION:

Problem 28RE

(Opt.) The number of boating accidents on Lake Emilie follows a Poisson distribution. The probability of an accident is 0.003. If there are 1000 boats on the lake during a summer month, find the probability that there will be 6 accidents. (5−4)

ANSWER:

Solution

Step 1 of 2

We have to find the probability of 6 accidents

Let X be the no.of accidents

Here

Given that the probability of accident is 0.003

And there are 1000 boats in the lake

Then

And

Here

            =1000(0.003)

            =3

The pmf of poisson distribution is


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