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c) Find the edf of X. 2. A contractor is required by a county planning department to submit one, two, three, four, and 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= 1,2,3,4,5. a) What is the value of k? (Hint: Σp(y) = 1.) y=l b) What is the probability that at most three forms are required?

c) Find the edf of X. 2. A contractor is required by a county planning department to submit one, two, three, four, and 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= 1,2,3,4,5. a) What is the value of k? (Hint: Σp(y) = 1.) y=l b) What is the probability that at most three forms are required?

A First Course in Probability (10th Edition)
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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(v) (between 2 and 5 lines, inclusive, are not in use} (vi) (at least 3 lines are not in use} c) Find the cdf of X. 2. A contractor is required by a county planning department to submit one, two, three, four, and 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= 1,2,3,4,5. a) What is the value of k? (Hint: Σp(y) = 1.) y=l b) What is the probability that at most three forms are required? Page c) What is probability that between two and four forms, inclusive, are required? d) Find the pdf of Y. e) Find the cdf of Y. 3. A branch of a certain bank in New York City has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows: 1
Transcribed Image Text:(v) (between 2 and 5 lines, inclusive, are not in use} (vi) (at least 3 lines are not in use} c) Find the cdf of X. 2. A contractor is required by a county planning department to submit one, two, three, four, and 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= 1,2,3,4,5. a) What is the value of k? (Hint: Σp(y) = 1.) y=l b) What is the probability that at most three forms are required? Page c) What is probability that between two and four forms, inclusive, are required? d) Find the pdf of Y. e) Find the cdf of Y. 3. A branch of a certain bank in New York City has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows: 1
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