Suppose x is a random variable for which a Poisson

Chapter 4, Problem 66E

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QUESTION:

Problem 66E

Suppose x is a random variable for which a Poisson probability distribution with λ = 5 provides a good characterization.

a. Graph p(x) for x = 0, 1, 2, c, 15.

b. Find μ and σ for x and locate m and the interval μ  2σ on the graph.

c. What is the probability that x will fall within the interval μ  2σ?

Questions & Answers

QUESTION:

Problem 66E

Suppose x is a random variable for which a Poisson probability distribution with λ = 5 provides a good characterization.

a. Graph p(x) for x = 0, 1, 2, c, 15.

b. Find μ and σ for x and locate m and the interval μ  2σ on the graph.

c. What is the probability that x will fall within the interval μ  2σ?

ANSWER:

Solution:

Step 1 of 2:

Let x be a random variable that follows a poisson distribution with =5.

  1. We have to graph P(x) for x=0,1,2,c,15.
  2. We have to find and for x, and we have to locate the mean and the interval  on the graph.
  3. We have to find the probability that x will fall within the interval .


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