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 = 1/21 (b) What is the probability that at most four forms are required? 10/21 (c) What is the probability that between two and five forms (inclusive) are required?