4. Suppose the number of accidents per year in a large factory follows a Poisson distribution with A = 5 per year. For a)-d), make sure to 1) define a random variable, 2) state its distribution, and 3) rephrase the question as a probability expression, as we have done in class. a) What is the probability that there are exactly 4 accidents in a given year? b) What is the probability that there are exactly 6 accidents in a given 6-month period? c) What is the probability that there is at least 1 accident in a given month? d) What is the probability that there are more than 12 and less than 16 accidents in a given 3-year period?

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Define the random variable and state its distribution only for each
4. Suppose the number of accidents per year in a large factory follows a Poisson distribution with A = 5
per year. For a)-d), make sure to 1) define a random variable, 2) state its distribution, and 3) rephrase
the question as a probability expression, as we have done in class.
a) What is the probability that there are exactly 4 accidents in a given year?
b) What is the probability that there are exactly 6 accidents in a given 6-month period?
c) What is the probability that there is at least 1 accident in a given month?
d) What is the probability that there are more than 12 and less than 16 accidents in a given 3-year
period?
Transcribed Image Text:4. Suppose the number of accidents per year in a large factory follows a Poisson distribution with A = 5 per year. For a)-d), make sure to 1) define a random variable, 2) state its distribution, and 3) rephrase the question as a probability expression, as we have done in class. a) What is the probability that there are exactly 4 accidents in a given year? b) What is the probability that there are exactly 6 accidents in a given 6-month period? c) What is the probability that there is at least 1 accident in a given month? d) What is the probability that there are more than 12 and less than 16 accidents in a given 3-year period?
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