During a 12-year period, sharks killed an average of 5

Chapter , Problem 25E

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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.

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,...


 

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