Solution Found!
Answer: The random variable X follows a Poisson process
Chapter 6, Problem 8E(choose chapter or problem)
QUESTION:
Problem 8E
The random variable X follows a Poisson process with the given mean.
Assuming μ = 7, compute
(a) P(10)
(b) P(X<10)
(c) P(X ≥ 10)
(d) P(7 ≤ X ≤ 9)
Questions & Answers
QUESTION:
Problem 8E
The random variable X follows a Poisson process with the given mean.
Assuming μ = 7, compute
(a) P(10)
(b) P(X<10)
(c) P(X ≥ 10)
(d) P(7 ≤ X ≤ 9)
ANSWER:
Answer
Step 1 of 4
(a)
The random variable X follows a Poisson process with the given mean.
Assuming μ = 7, we are asked to compute
If X is the number of successes in an interval of fixed length and X follows a Poisson
process with mean , the probability distribution function for X is
…………(1)
We have given μ = 7 and
Using equation (1), we can write that,
Hence is