A Random Variable X Is Normally Distributed with Mean

question 65

Multiple Choice

A random variable X is Normally distributed with mean = 75 and = 8.Let Y be a second Normally distributed random variable with mean = 70 and = 12.It is also known that X and Y are independent of one another.Let W be a random variable that is the difference between X and Y (i.e. ,W = X - Y) .What is the probability that W is greater than -5.5 (i.e. ,P{W > -5.5}) ?

• A)0.233
• B)0.512
• C)0.767
• D)0.488
• E)Not within ± 0.005 of any of the above

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