(4) Find the conditional probability that the watch has an operational lifetime in excess of 5 years given that the watch has an operational lifetime in excess of 4 years.
(4) Find the conditional probability that the watch has an operational lifetime in excess of 5 years given that the watch has an operational lifetime in excess of 4 years.
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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just for part (4). thank you!
![15. The operational lifetime X, in years, of a battery powered watch has probability
density function
f(x)=
[cx(6-x)
0
3≤x≤6
otherwise
26
(1) Find the value of c.
(2) Find the cumulative distribution function of X.
(3) Find the probability that the watch has an operational lifetime in excess of 4
years.
(4) Find the conditional probability that the watch has an operational lifetime in
excess of 5 years given that the watch has an operational lifetime in excess of
4 years.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7612013f-aa44-4e87-9119-d1d4f6335a4f%2F59f67f95-5415-46cc-a1a0-535733703d35%2Fqp45dvb_processed.png&w=3840&q=75)
Transcribed Image Text:15. The operational lifetime X, in years, of a battery powered watch has probability
density function
f(x)=
[cx(6-x)
0
3≤x≤6
otherwise
26
(1) Find the value of c.
(2) Find the cumulative distribution function of X.
(3) Find the probability that the watch has an operational lifetime in excess of 4
years.
(4) Find the conditional probability that the watch has an operational lifetime in
excess of 5 years given that the watch has an operational lifetime in excess of
4 years.
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