Question

Visitors arrive to an internet site according to a Poisson process with an average of 10 visitors per hour. Use this information to answer the following questions.

1.What is the probability that 12 visitors arrive in an hour? (Use 4 decimal places)

2. What is the probability that at least 20 minutes elapse between visitors to the website? (Use 4 decimal places)

3.What is the probability that at least 2 visitors come to the website in 30 minutes? (Use 4 decimal places)

Answer 1

Mean/Expected number of events of interest: λ =                10

P ( X =    12   ) = e ^   -10   *    10   ^    12   /   12   !
=0.0948
....

c)

Mean/Expected number of events of interest: λ =                5

p(x<=2) =1- p(0)-p(1)

=0.9596

.............

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