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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
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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)
Σ
y = 1
k=
(d) Could p(y)
(b) What is the probability that at most three forms are required?
=
6
(c) What is the probability that between two and four forms (inclusive) are required?
87
=
1]
---Select---
for y = 1, ..., 6 be the pmf of Y?
6
· because Σ p(y) =
y = 1
Transcribed Image Text: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) Σ y = 1 k= (d) Could p(y) (b) What is the probability that at most three forms are required? = 6 (c) What is the probability that between two and four forms (inclusive) are required? 87 = 1] ---Select--- for y = 1, ..., 6 be the pmf of Y? 6 · because Σ p(y) = y = 1
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