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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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Question 2
(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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