Solution Found!
Suppose that X has a Poisson distribution with a mean of
Chapter 3, Problem 157E(choose chapter or problem)
Suppose that X has a Poisson distribution with a mean of 4. Determine the following probabilities:
(a) \(P(X=0)\) (b) \(P(X \leq 2)\)
(c) \(P(X=4)\) (d) \(P(X=8)\)\(P(X=8)\)
Equation transcription:
Text transcription:
P(X=0)
P(X \leq 2)
P(X=4)
P(X=8)P(X=8)
Questions & Answers
QUESTION:
Suppose that X has a Poisson distribution with a mean of 4. Determine the following probabilities:
(a) \(P(X=0)\) (b) \(P(X \leq 2)\)
(c) \(P(X=4)\) (d) \(P(X=8)\)\(P(X=8)\)
Equation transcription:
Text transcription:
P(X=0)
P(X \leq 2)
P(X=4)
P(X=8)P(X=8)
ANSWER:Solution 157E
Step1 of 5:
Let us consider a random variable X it follows poisson distribution with parameter
Here our goal is:
a). We need to find
b). We need to find
c). We need to find
d). We need to find
Step2 of 5:
a).
Suppose that a random variable X follows Poisson distribution with parameters ‘’
Then, the probability mass function of poisson distribution is given by:
x = 0,1,2,...
Now,
Therefore, P(X = 0) = 0.0184.