5) Consider the distribution of lifetimes, X(in months) of a particular type of component. The CDF ofX is;|1 - e-(x/3¥F(x) =,x > 0x < 0a. Find the pdf of lifetime.b. Find the median of lifetime.c. Find the time t such that 10% of the components fail before t.

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5) Consider the distribution of lifetimes, X(in months) of a particular type of component. The CDF of X is; (1- e-(x /3} ,x > 0 F(x) , x < 0 a. Find the pdf of lifetime. b. Find the median of lifetime. c. Find the time t such that 10% of the components fail before t. с.

5) Consider the distribution of lifetimes, X(in months) of a particular type of component. The CDF of X is; (1- e-(x /3} ,x > 0 F(x) , x < 0 a. Find the pdf of lifetime. b. Find the median of lifetime. c. Find the time t such that 10% of the components fail before t. с.

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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Question

5) Consider the distribution of lifetimes, X(in months) of a particular type of component. The CDF of
X is;
|1 - e-(x/3¥
F(x) =
,x > 0
x < 0
a. Find the pdf of lifetime.
b. Find the median of lifetime.
c. Find the time t such that 10% of the components fail before t.

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