EBook Problems Distrib Poisson

EBook Problems Set - Poisson Distribution

Problem 1

Suppose X has a poisson distribution with a mean of 4. What is the probability of: P(X=8)?

• Choose one answer.

(a) 0.0298

(b) 0.2980

(c) 0.3829

(d) 0.3912

Answer

 (a)

Problem 2

Suppose X has a poisson distribution with a mean of 4. What is the probability of: P(X=0)?

• Choose one answer.

(a) 0.0183

(b) 0.9321

(c) 0.0847

(d) 0.3982

Answer

 (a)

Problem 3

Suppose the number of cars that enter a parking lot in an hour is a Poisson random variable, and suppose that P(X=0)=0.05. Determine the mean of X.

• Choose one answer.

(a) 3.543

(b) 2.996

(c) 5.433

(d) 2.341

Answer

 (b)

Problem 4

Suppose the number of cars that enter a parking lot in an hour is a Poisson random variable, and suppose that P(X=0)=0.05. Determine the variance of X.

• Choose one answer.

(a) 2.996

(b) 3.232

(c) 9.321

(d) 0.349

Answer

 (a)

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