The cumulative distribution function of a continuous random variable is given(adsbygoogle = window.adsbygoogle || []).push({});

as follows:

0 0

( ) 0 5

5

1 5

X

if x

x

F x if x

x

a. Determine and name the density function of . [02]

b. Use both and ( ) X F x to find P(X 3) . [05]

c. Find the variance of . [03]

d. Use the method to find the probability density function of .[06]

e. Find the variance of .

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# Random variable

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