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X is a random variable with a probability density function given by: ()=0.5 0 < <1, 1 < <3 0 a) Determine the value of

X is a random variable with a probability density function given by:

()=0.5 0<<1,

1<<3

0

a) Determine the value of to make this a valid probability density function.

b) Write out the CDF ().

c) What's the probability P(X < 2)?

d) Calculate expected value of X.

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