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(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)
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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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.
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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