b) Find P(5< 50) ising }(y). c) Find P(4 < Y < 100) using F(y). d) What is the probability that of 5 such devices at least 1 will function for a

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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b,c,d parts 

The probability density function of Y, the lifetime of a certain electric
device (measured in hours), is given by
S8/s, y> 8,
f(y) =
| 0,
elsewhere
a) Find the cumulative distribution function of Y.
b) Find P(5< Y < 50) using f(y).
c) Find P(4 < Y < 100) using F(y).
d) What is the probability that of 5 such devices at least 1 will function for at least 20
hours?
Transcribed Image Text:The probability density function of Y, the lifetime of a certain electric device (measured in hours), is given by S8/s, y> 8, f(y) = | 0, elsewhere a) Find the cumulative distribution function of Y. b) Find P(5< Y < 50) using f(y). c) Find P(4 < Y < 100) using F(y). d) What is the probability that of 5 such devices at least 1 will function for at least 20 hours?
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