d) e) Find the pdf of Y. Find the cdf of Y.
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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Question
Letters d and e on question 2
Transcribed Image Text: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:
Pl
b) What is the probability that at most three forms are required?
p(y) = 1.)
c) What is probability that between two and four forms, inclusive, are
required?
d)
Find the pdf of Y.
e) Find the edf of Y.
3. A branch of a certain bank in New York City has six ATMs. Let N
represent the number of machines in use at a particular time of day.
The cdf of Xis as follows
17
0.06 70
Expert Solution
Step 1
For the given
p(y)=ky for y=1,2,3,4,5
Find pdf and cdf
Step by step
Solved in 2 steps with 2 images
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