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11. Building contractors are required by a county planning department to submit two, three, four, five, or six forms, depending on the nature of the project, when applying for a building permit. Let Y -number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y. Thus, P(Y y) ky for y 2,3,4,5, 6 and k > 0. (a) Find the value of k so that P(Y )- ky is a PDF. (PDF's are discussed in your book.) Answer: 1/20 (b) What is the probability that at most four forms are required of the next applicant? Answer: 9/20 (c) What is the probability that between two and five forms, inclusive, are required of the next applicant? Answer: 0.7 (d) Construct a histogram for this PDF. (4.1.4)

Answer 1

Solutt The psobabnite O Can be tabuated asbeloco 3 oettons 20k 되 うp lat most、4'fo5ms selected) PCL) P(NPeuw 1- P(2) 4120 c) between S ヲ 20 2.0 15