If X is a normal random variable with mean μ = 4 and standard deviation σ = 2,and Y is a
normal random variable with mean μ = 10 and standard deviation σ = 5,then the probabilities P(X

Name: If X is a normal random variable with mean μ = 4 and standard deviation σ = 2,and Y is a normal random variable with mean μ = 10 and standard deviation σ = 5,then the probabilities P(X < 0)and P(Y < 0)are equal.
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Question

If X is a normal random variable with mean μ = 4 and standard deviation σ = 2,and Y is a
normal random variable with mean μ = 10 and standard deviation σ = 5,then the probabilities P(X < 0)and P(Y < 0)are equal.

Quizplus · Accepted Answer

Since the mean of X is less than the mean of Y, P(X < 0) < P(Y < 0).

If X Is a Normal Random Variable with Mean μ