Calculating probabilities for complex random variables I am having

Ben Shaffer

Ben Shaffer

Answered question

2022-03-16

Calculating probabilities for complex random variables
I am having some trouble understanding/formulating how one computes probabilites given a (somehow complex) continuous random variable. For example, if I define a random variable Z as: Y=10(2+μ+σX) where X has standard normal distribution. How would I, for example, formulate/define P(Y>0) for some μ and σ?

Answer & Explanation

Brock Floyd

Brock Floyd

Beginner2022-03-17Added 6 answers

Assuming σ>0 , from Y=10(2+μ+σX) you could say X=Y2010μ10σ
So P(Y>0) is equivalent to P(X>2μσ)=1Φ(2μσ)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?