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STAT 225 Quiz 5
The PDF of the continuous RV Y is given below.
fY (y) =
c(y2 + 1) if 0 < y < 20 otherwise1. Find the value of c that makes this a legitimate PDF. 2. What is the probability that Y is greater than 1? 3. Find E(Y ). E[X] =R 11 xfX(x)dxE[X2] =R 11 x2fX(x)dxVar(X) = E[X2] E[X]2 FX(x) =x R1fX(t)dt
Directions: You have 10 minutes to complete the quiz. You are allowed a calculator as specied in the syllabus. If necessary, round decimal answers to 4 signicant digits. Show all work to receive full credit. Instructors will not interpret questions for you.The PDF of the continuous RV Y is given below.fY (y) =326y2 if 1 < y < 30 otherwise1. Find the CDF of Y . 2. What is the probability that Y is between 1.5 and 2.5? 3. Find the median of Y . E[X] =R 11 xfX(x)dxE[X2] =R 11 x2fX(x)dxVar(X) = E[X2] E[X]2 FX(x) =x R1fX(t)dt
Directions: You have 10 minutes to complete the quiz. You are allowed a calculator as speci ed in the syllabus. If necessary, round decimal answers to 4 signi cant digits. Show all work to receive full credit. Instructors will not interpret questions for you.The CDF of Y is below.FY (y) =8<:0 if y 0163(30y y3) if 0 < y 31 if y > 31. Find the PDF of Y . 2. What is the probability that Y is greater than 1 given Y is between 0.5 and 1.5? 3. Find E(Y 2).E[X] =R 11 xfX(x)dxE[X2] =R 11 x2fX(x)dxVar(X) = E[X2] E[X]2 FX(x) =x R1fX(t)dt
Directions: You have 10 minutes to complete the quiz. You are allowed a calculator as speci ed in the syllabus. If necessary, round decimal answers to 4 signi cant digits. Show all work to receive full credit. Instructors will not interpret questions for you.The PDF of the continuous RV Y is given below.fY (y) =322(5 y2) if 0 < y < 20 otherwise1. Verify that this is a legitimate PDF. 2. What is the probability that Y is between 0.5 and 1.5? 3. Find E(Y ). E[X] =R 11 xfX(x)dxE[X2] =R 11 x2fX(x)dxVar(X) = E[X2] E[X]2 FX(x) =x R1fX(t)dt
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