Random variable X is uniformly distributed over the interval [2, b]. Given: P { |X –...

Random variable X is uniformly distributed over the interval [2, b]. Given: P { |X – 4 | > 4} = 0. 8. a) Find P { 0 < X < 5}

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ANSWER::

Since X is uniformly distributed over the interval [2,b], so b>2 and the PDF of X is

Also,

Thus, we have

Now the

a) Required proability is

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