(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...
icon
Related questions
Question

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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON