Answer to Question #340171 in Statistics and Probability for Maneo

Question

Suppose that the occurrence of accidents in a large industrial plant satisfies the three 

assumptions for the Poison process. Suppose also that accidents occur at the rate of ½ per week. Let X be the number of accidents that will occur in a period of the next six weeks.

• A) What is the parameter λ?

• B) Write down the pdf of X.

• C) Find E(X), Var(X) and mgf of X

• D) What is the probability that exactly 3 accidents will occur?

• E) What is the probability that no accidents will occur?

F) If the number of accidents occurring on a highway each day is a poison random variable with parametor $\lambda$=3  what is the probability that no

accidents occur today?

Answer 1

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