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: S P(Y) = 1] y= 1 k = (b) What is the probability that most three forms are required? (c) What is the probability that between two and five forms (inclusive) are required?
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: S P(Y) = 1] y= 1 k = (b) What is the probability that most three forms are required? (c) What is the probability that between two and five forms (inclusive) are required?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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:
S P(Y) = 1]
y = 1
k =
(b) What is the probability that at most three forms are required?
(c) What is the probability that between two and five forms (inclusive) are required?
(d) Could p(y) =
for y = 1, ..., 6 be the pmf of Y?
92
---Select--- v
because
p(y) =
y = 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8536f70-6afb-49b2-94d8-7d5f9820999c%2Fb4598360-f59f-4e22-a411-dafda9910516%2Flb7hd7m_processed.png&w=3840&q=75)
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:
S P(Y) = 1]
y = 1
k =
(b) What is the probability that at most three forms are required?
(c) What is the probability that between two and five forms (inclusive) are required?
(d) Could p(y) =
for y = 1, ..., 6 be the pmf of Y?
92
---Select--- v
because
p(y) =
y = 1
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