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{"ops":[{"insert":"Suppose that the occurrence of accidents in a large industrial plant satisfies the three\u00a0\nassumptions for the Poison process. Suppose also that accidents occur at the rate of \u00bd per week.\u00a0Let X be the number of accidents that will occur in a period of the next six weeks.\n\u2022 A) What is the parameter \u03bb?\n\u2022 B) Write down the pdf of X.\n\u2022 C) Find E(X), Var(X) and mgf of X\n\u2022 D) What is the probability that exactly 3 accidents will occur?\n\u2022 E) What is the probability that no accidents will occur?\nF) If the number of accidents occurring on a highway each day is a poison\u00a0random variable\u00a0with\u00a0parametor "},{"insert":{"katex":{"formula":"\\lambda","isBlock":false}}},{"insert":"=3 \u00a0what is\u00a0the\u00a0probability\u00a0that\u00a0no\naccidents occur today?\n\n\n"}]}
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