Ch 3 - 79E

Chapter 4, Problem 79E

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QUESTION:

Let X, the number of flaws on the surface of a randomly selected boiler of a certain type, have a Poisson distribution with parameter \(\mu = 5\). Use Appendix Table A.2 to compute the following probabilities:

a. \(P( X\ \leq\ 8)\)

b. P( X = 8 )

c. \(P(9\ \leq\ X)\)

d. \(P(5\ \leq\ X\ \leq\ 8)\)

e. P( 5 <  X < 8)

Questions & Answers

QUESTION:

Let X, the number of flaws on the surface of a randomly selected boiler of a certain type, have a Poisson distribution with parameter \(\mu = 5\). Use Appendix Table A.2 to compute the following probabilities:

a. \(P( X\ \leq\ 8)\)

b. P( X = 8 )

c. \(P(9\ \leq\ X)\)

d. \(P(5\ \leq\ X\ \leq\ 8)\)

e. P( 5 <  X < 8)

ANSWER:

Answer Step 1 of 5 Given =1 e x The pmf of poisson distribution is P(x)= ,x=0,1,2,....... x!

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