![6. The current Y across a resistor is a continuous uniform (-10, 10) a. Find P( IYI3) b. Find E[Y]. c. Find Var(Y).](http://img.homeworklib.com/questions/051a9480-2009-11eb-8aad-41cb298e8509.png?x-oss-process=image/resize,w_560)
Homework Answers
Ans:
Given that Y is continuous uniformely distributed from -10 to 10.
a=-10
b=10
cdf:
P(Y<=y)=(y-a)/(b-a)=(y+10)/20
a)P(-3<Y<3)=P(Y<3)-P(Y<-3)=(3-(-3))/20=6/20=0.3
b)mean=E[Y]=(a+b)/2=0
c)Variance=Var[Y]=(b-a)^2/12=(10+10)^2/12=400/12=33.33
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