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
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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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