The discussion focuses on calculating the probability that a normally distributed random variable A, defined as A = N(129, 29.4), is at least twice the size of another normally distributed random variable B, defined as B = N(86, 24.0). The participants emphasize the need to clarify whether the standard deviation or variance is being referenced in the notation N(a,b) and confirm that both A and B are independent variables. The Central Limit Theorem (CLT) is mentioned as a potential tool for solving the problem, although its application in this conditional context requires further exploration.
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Gauss M.D. said:Homework Statement
We have two normally distributed random variables:
A = N(129, 29.4)
B = N(86, 24.0)
What is the probability A is atleast twice the size of B?
The Attempt at a Solution
P(A > 2B | B = b) or something? I think we are supposed to use the CLT somehow but I don't know how when it's conditional...