15. The operational lifetime X, in years, of a battery powered watch has probabilitydensity functionf(x)=[cx(6-x)03≤x≤6otherwise26(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 4years.(4) Find the conditional probability that the watch has an operational lifetime inexcess of 5 years given that the watch has an operational lifetime in excess of4 years.

AS Per Guidelines I HAVE CALULATED 3 Subparts , plz repost for remaining Parts with note i need…

Answered: (1) Find the value of c. (2) Find the…

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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(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.