3. Let the probability density function of a random variable Y be 0


3. Let the probability density function of a random variable Y be<br>0 <x < 1<br>1< x < 2<br>у,<br>f(y) = }2 – y,<br>0,<br>otherwise<br>(a) Find F(y)<br>(b) Find P(0.5 <Y < 0.9)<br>(c) Find P(0.75 <Y< 1.5)<br>(d) Calculate E(y)<br>(e) Calculate Var(y)<br>(f) Calculate standard deviation of Y<br>

Extracted text: 3. Let the probability density function of a random variable Y be 0 < 1="">< x="">< 2="" у,="" f(y)="}2" –="" y,="" 0,="" otherwise="" (a)="" find="" f(y)="" (b)="" find="" p(0.5="">< 0.9)="" (c)="" find="" p(0.75=""><>< 1.5)="" (d)="" calculate="" e(y)="" (e)="" calculate="" var(y)="" (f)="" calculate="" standard="" deviation="" of="">

Jun 11, 2022
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