Suppose and are independent random variables with standard Normal distributions. The probability of is some . What is the probability of the event: and ?
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DSE 2005 Question 19: Probability and Bayes' theorem
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Plain-text version
Suppose X and Y are independent random variables with standard Normal distributions. The probability of X<-1 is some p∈(0,1). What is the probability of the event: X²>1 and Y³<-1? (A) 3p (B) p² (C) 2p² (D) 3p²
Also written as: Suppose X and Y are independent random variables with standard Normal distributions. The probability of X<-1 is some p in (0,1). What is the probability of the event: X^2>1 and Y^3<-1?
Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.
What this question tests
This question is on Independence, part of Probability and Bayes' theorem in Statistics.
When one event tells you nothing about another, and how it differs from being mutually exclusive.
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