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 p roportional 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=1 (b) What is the probability that at most three forms are required? (c) What is the probability that between two and four forms (inclusive) are required?

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