ntractor is required by a county planning department to submit one, two, three, four, or five 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 required is known to be proportional to y-that is, p(y) = ky for y= 1,..., 5. (Enter your answers as fractions.) What is the value of K? [Hint: p(y) = 1] What is the probability that at most three forms are required? What is the probability that between two and four forms (inclusive) are required? Could p(y) = y=1 1² fo for y= 1,..., 5 be the pmf of Y? ---Select-- , because p(y) = y=1

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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A contractor is required by a county planning department to submit one, two, three, four, or five 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, ..., 5. (Enter your answers as fractions.)
(a) What is the value of k? [Hint: p(y) = 1]
y = 1
k =
5
(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?
(d) Could p(y) = - for y = 1, ..., 5 be the pmf of Y?
56
---Select--- ✓
5
because = p(y) =
y = 1
Transcribed Image Text:A contractor is required by a county planning department to submit one, two, three, four, or five 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, ..., 5. (Enter your answers as fractions.) (a) What is the value of k? [Hint: p(y) = 1] y = 1 k = 5 (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? (d) Could p(y) = - for y = 1, ..., 5 be the pmf of Y? 56 ---Select--- ✓ 5 because = p(y) = y = 1
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