Let X be the discrete random variable with the cumulative distribution function F(x) given as follows. 0, for - 3.75


Let X be the discrete random variable with the cumulative distribution function F(x) given as follows.


0,<br>for - 3.75 < x < 0.5,<br>for x < -3.75,<br>0.3,<br>F(x) =<br>0.6,<br>for 0.5 < x < 4.5,<br>1,<br>for 4.5 < x.<br>(a) Find the probability mass function, p(x) = P(X = x).<br>%3D<br>(b) Find the expected value, variance and the standard deviation of X.<br>

Extracted text: 0, for - 3.75 < x="">< 0.5,="" for="" x="">< -3.75,="" 0.3,="" f(x)="0.6," for="" 0.5="">< x="">< 4.5,="" 1,="" for="" 4.5="">< x.="" (a)="" find="" the="" probability="" mass="" function,="" p(x)="P(X" =="" x).="" %3d="" (b)="" find="" the="" expected="" value,="" variance="" and="" the="" standard="" deviation="" of="">

Jun 06, 2022
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