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7. In each of the summer months (June, July, August), the number of accidents per months at a busy intersection is Poisson distributed with mean 1.5 accidents/month. For all other months, the number of accidents is Poisson distributed with mean 0.5 accidents/month. a) (3 pts) First, let yan:Yeb YMar be the number of accidents occurring in the months of January, February, March, etc. Define a variable A-the total number of accidents occurring in the second half of the year (read: July through December) at this intersection. Write an expression for A in terms of Jan Feb Mars b) (5 pts) Second, using properties proven in class andor listed on the Properties from Section65 Handout, find the distribution of A. CLEARLY TELL ME which property or properties you use from that sheet. . Show the work done with said property or properties to find the distribution. . Give the name of the distribution and its parameters. (3 pts) Third, find the probability that exactly three accidents occurred at this intersection in the last half of the year. c)

math   Statistics-And-Probability   
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