Random variables Given independent random variables with means and standard deviations as shown, find the mean and standard deviation of: X+Y

opatovaL

opatovaL

Answered question

2021-06-01

Random variables Given independent random variables with means and standard deviations as shown, find the mean and standard deviation of: X+Y

Answer & Explanation

timbalemX

timbalemX

Skilled2021-06-02Added 108 answers

The mean and standard deviation is as follows:
E(X+Y)=E(X)+E(Y)
=80+12
=92
V(X+Y)=V(X)+V(Y)
SD(X+Y)=V(X)+V(Y)
=122+32
=153
=12.3693

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