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: p(y) = 1] y = k = (b) What is the probability that at most four forms are required? (c) What is the probability that between three and five forms (inclusive) are required? (d) Could p(y) = for y = 1, ..., 6 be the pmf of Y? 92 6 --Select--- O , because p(y) = y = 1

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