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We have $Z_1,Z_2,Z_3$ are independent standard normal random variables. Find

a) $\mathbb P(Z_1

b) $\mathrm{Var}(Z_1Z_2^2)$

c) $\mathbb P(Z_1/Z_2>1)$

d) $\mathbb P(Z_1^2>Z_2^2+Z_3^2)$

  • 7
    Please read the [FAQ](http://meta.math.stackexchange.com/questions/1803/how-to-ask-a-homework-question) on homework questions and revise your post accordingly.2011-11-12

2 Answers 2