Hello I am having trouble with this homework question: I need help with sections d.), e.) and f.) as all calculations require it to be rounded decimal answers to at least 3 places unless otherwise. The current in a certain high voltage circuit has the following probability density function:f(x)= .08x – 0.24 for 3 < x < 8 and 0 otherwise.a) What is the probability that X > 4? 0.96b) What is the probability that X < 3.4? 0.0074c) What is the probability that 3.2 < X < 4.5? 0.0884d) What is the expected value of X (E(X))?e) What is the expected value of X - 1?f) What is the expected value of 8X?

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Answered: d) What is the expected value of X…

Math

Probability

d) What is the expected value of X (E(X))? e) What is the expected value of X - 1? f) What is the expected value of 8X?

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

Hello I am having trouble with this homework question: I need help with sections d.), e.) and f.) as all calculations require it to be rounded decimal answers to at least 3 places unless otherwise.

The current in a certain high voltage circuit has the following probability density function:
f(x)= .08x – 0.24 for 3 < x < 8 and 0 otherwise.
a) What is the probability that X > 4? 0.96
b) What is the probability that X < 3.4? 0.0074
c) What is the probability that 3.2 < X < 4.5? 0.0884
d) What is the expected value of X (E(X))?
e) What is the expected value of X - 1?
f) What is the expected value of 8X?

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