Question

Let the random variable U have the uniform density on [0,1]. Find the density functions of:...

Let the random variable U have the uniform density on [0,1]. Find the density functions of:

(a) 3U

(b) U+ 5

(c) U^4

Math   Statistics-And-Probability   
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Answer #1

a) The cumulative density function of X = 3U is

The probability density function of X = 3U is

b) The cumulative density function of X = U + 5 is

The probability density function of X = U + 5 is

c) The cumulative density function of X = U4 is

The probability density function of X = U4 is

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