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...
icon
Related questions
Question
100%

I would like to know how to solve this in detail which is in the following picture, thank you.

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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 6 images

Blurred answer