Problem. We work at a company which produces battery. Investigating a given type of a battery we know that it has random lifetime with density function (measured in mont hs) 0St 2, 2
Problem. We work at a company which produces battery. Investigating a given type of a battery we know that it has random lifetime with density function (measured in mont hs) 0St 2, 2
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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I would like to know how to solve this in detail which is in the following picture, thank you.

Transcribed Image Text:Problem. We work at a company which produces battery. Investigating a given type of a
battery we know that it has random lifetime with density function (measured in mont hs)
0St<2,
2<t<4,
C,
-şt + 2c,
0,
f(t) =
otherwise.
(a) Find the value of the parameter c, such that f is a density funct ion.
(b) What is the ex pected lifet ime of this battery? What is the heuristical meaning of it?
(c) Calculate the standard deviation of the lifetime.
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