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The random variable X and Y are independent, and their distributions are normal, with E(X) = 1000, E(Y ) = 900, StDev(X) = 300, and

The random variable X and Y are independent, and their distributions are normal, with E(X) = 1000, E(Y ) = 900, StDev(X) = 300, and StDev(Y ) = 400.

What can you say about the random variable (X-Y)?

Compute E[X-Y]

Compute the standard deviation of [X-Y]

Compute \( P(X \lt Y\))

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