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A contractor is required by a county planning department to submit one, two, three, four, five,...

A contractor is required by a county planning department to submit one, two, three, four, five, or six 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) = ky for y = 1, , 6. (Enter your answers as fractions.)

(a) What is the value of k? [Hint: 6 y = 1 p(y) = 1] k =

(b) What is the probability that at most three forms are required?

(c) What is the probability that between two and five forms (inclusive) are required?

(d) Could p(y) = y2 90 for y = 1, , 6 be the pmf of Y? Correct: Your answer is correct. , because 6 y = 1 p(y) =

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