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Suppose that X-N(10,4) and X2 - N(5,9) are two independent random variables. Let Y=3x+2x2 and find: a) The mean and variance of Y, a. u,=E(Y)=. b. σ =V(Y)= b) The distribution Y- c) The probability: Pr(Y≤48.5)=

Suppose that X-N(10,4) and X2 - N(5,9) are two independent random variables. Let Y=3x+2x2 and find: a) The mean and variance of Y, a. u,=E(Y)=. b. σ =V(Y)= b) The distribution Y- c) The probability: Pr(Y≤48.5)=

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Suppose that 1(10,4) XN and 2(5,9) XN are two independent random variables. Let 1232YXX=+and find:
a) The mean and variance of
,Y
a.
()________yEYμ≡=
b.
2()________yVYσ≡=
b) The distribution
____________Y
c) The probability:
Pr(48.5)________

Suppose that X-N(10,4) and X2 - N(5,9) are two independent random variables. Let Y=3x+2x2 and find: a) The mean and variance of Y, a. u,=E(Y)=. b. σ =V(Y)= b) The distribution Y- c) The probability: Pr(Y≤48.5)=
Transcribed Image Text:Suppose that X-N(10,4) and X2 - N(5,9) are two independent random variables. Let Y=3x+2x2 and find: a) The mean and variance of Y, a. u,=E(Y)=. b. σ =V(Y)= b) The distribution Y- c) The probability: Pr(Y≤48.5)=
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