Thread: Normal Distribution problem

Suppose X and Y are independent random variables with standard Normal Distributions. The probability of X < -1 is some p (from 0,1) . What is the probability of the event:
X^2 > 1 and Y^3 < -1 ?

a. 3p
b. p^2
c. 2p^2
d. 3p^2

Originally Posted by champrock

Suppose X and Y are independent random variables with standard Normal Distributions. The probability of X < -1 is some p (from 0,1) . What is the probability of the event:
X^2 > 1 and Y^3 < -1 ?

a. 3p
b. p^2
c. 2p^2
d. 3p^2

.

.

And if and are independent then and are independent.