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In: Statistics and Probability

Answer ASAP: Probability and Statistics question On average, 2.4 car accidents occur on certain highway each...

Answer ASAP: Probability and Statistics question

On average, 2.4 car accidents occur on certain highway each month (which is assumed to always have 30 days). Answer the following questions:

(a) What is the probability of having at least 1 accident on the highway next month?

Hint: Let LaTeX: XX denote the number of car accidents on the highway next month. What distribution does LaTeX: X X have?

(b) What is the probability that there will be no accident during the first 15 days of next month?

Hint: Let LaTeX: YYdenote the waiting time (in months) for the first accident that will occur on the highway next month. What does the question imply about LaTeX: YY?

(c) Given that there is no accident on the highway during the first 15 days of next month, what is the probability that there is no accident during the next 10 days of the month?

(d) Bonus question (5 extra points). Considering next year, let LaTeX: ZZ denote the number of months in which there will be no car accidents on the highway. What distribution does LaTeX: ZZ have? Be sure to specify both the distribution name and parameter value(s).

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Expert Solution

orchestra answered 1 year ago
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