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(Opt.) The number of boating accidents on Lake Emilie
Chapter 5, Problem 28RE(choose chapter or problem)
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)
Questions & Answers
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