Solution Found!
The number of hits on a certain website follows a Poisson
Chapter 4, Problem 7E(choose chapter or problem)
The number of hits on a certain website follows a Poisson distribution with a mean rate of 4 per minute.
a. What is the probability that 5 messages are received in a given minute?
b. What is the probability that 9 messages are received in 1.5 minutes?
c. What is the probability that fewer than 3 messages are received in a period of 30 seconds?
Questions & Answers
QUESTION:
The number of hits on a certain website follows a Poisson distribution with a mean rate of 4 per minute.
a. What is the probability that 5 messages are received in a given minute?
b. What is the probability that 9 messages are received in 1.5 minutes?
c. What is the probability that fewer than 3 messages are received in a period of 30 seconds?
ANSWER:Solution
Step 1 of 4
Here given that the no. of hits on a web site follows the poisson distribution with mean a rate of 4 per minute
Let X is the no. of hits on a web site
The pmf of poisson distribution is P(X)=, X=0,1,2,..............
Then XPoisson(4)
Hence =4