A contractor is required by a county planning department to submit one, two, three or four forms (depending on the nature of the project) in applying for a building permit. Let Y = the number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y, that is, P(Y=y)=k*y for ?=1,2,3,4. a. What is the value of k? b. What is the probability that at most two forms are required? (Hint: Construct the pmf of Y.) c. What is the cumulative distribution function (cdf) of Y? d. Find E(Y). e. Find V(Y).

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