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During a 12-year period, sharks killed an average of 5
Chapter , Problem 25E(choose chapter or problem)
Problem 25E
During a 12-year period, sharks killed an average of 5 people each year worldwide. Find the probability that the number of people killed by sharks next year is (a) exactly three, (b) more than six, and (c) at most five.
Questions & Answers
QUESTION:
Problem 25E
During a 12-year period, sharks killed an average of 5 people each year worldwide. Find the probability that the number of people killed by sharks next year is (a) exactly three, (b) more than six, and (c) at most five.
ANSWER:
Solution:
Step 1 of 4:
From the given problem we have
The corresponding distribution is a Poisson distribution. Because there is an average rate of success.
The pmf of a Poisson distribution is
for k = 0,1,2,...