The error, X, in measuring the length of a rivet (in micrometers) has the following probability density function f(x)= 20·x·(3−x)3 243 for 0 ≤ x ≤ 3 and 0 otherwise. a) What is the probability that X > 1? b) What is the probability that X < 1? c) What is the probability that 2.1 < X < 2.7? d) What is the expected value of X (E(X))?

The error, X, in measuring the length of a rivet (in micrometers) has the following probability density function f(x)= 20·x·(3−x)3 243 for 0 ≤ x ≤ 3 and 0 otherwise. a) What is the probability that X > 1? b) What is the probability that X < 1? c) What is the probability that 2.1 < X < 2.7? d) What is the expected value of X (E(X))?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The error, X, in measuring the length of a rivet (in micrometers) has the following probability density function
f(x)=

20·x·(3−x)³

243

for

0 ≤ x ≤ 3

and 0 otherwise.

a) What is the probability that X > 1?

b) What is the probability that X < 1?

c) What is the probability that 2.1 < X < 2.7?

d) What is the expected value of X (E(X))?

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