4. Let X be a lifetime (in hours) of a lightbulb and suppose that X has a PDF of e0.001x f(x) = if x 2 0. %3D 1000 if x < 0 (a) Determine P(X < 1000) (b) Determine P(100 < X < 1000) (c) Determine a number x such that a lightbulb survives the age x with probability of 0.7. (d) Determine the expected value (e) Determine its variance and standard deviation
4. Let X be a lifetime (in hours) of a lightbulb and suppose that X has a PDF of e0.001x f(x) = if x 2 0. %3D 1000 if x < 0 (a) Determine P(X < 1000) (b) Determine P(100 < X < 1000) (c) Determine a number x such that a lightbulb survives the age x with probability of 0.7. (d) Determine the expected value (e) Determine its variance and standard deviation
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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Transcribed Image Text:4. Let X be a lifetime (in hours) of a lightbulb and suppose that X has a PDF of
e0.001x
f(x) :
if x >0
1000
%3D
if x < 0
(a) Determine P(X < 1000)
(b) Determine P(100 < X < 1000)
(c) Determine a number x such that a lightbulb survives the age x with probability of
0.7.
(d) Determine the expected value
(e) Determine its variance and standard deviation
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