Question

Let U, V, and W be independent standard normal random variables (that is, independent normal random variables, each with mean 0 and variance 1), and let X=3U+4V and Y=U+W. Give a numerical answer for each part below. You may want to refer to the standard normal table.

What is the probability that X≥8?

P(X≥8)=

E[XY]=

var(X+Y)=

Answer 1

heyyy i need a good note

Answer 2

some answers

P(X≥8)= 0.054799

var (X+Y) = 33 ?? (not really sure about this one)

fellow classmate: help us out with E[XY] if you are reading this....Feel free to provide your answer to the whole TEST

Answer 3

E[XY] = 3

var(X+Y)= 33

checked!!

Answer 4

It is indeed:

1) 0.0548
2) 3
3) 33

Answer 5

1)0.0548
2) 3
3) 33

The answers are Checked are ok!