The probability that some random variable X is within plus or minus 3 standard deviations of its mean is equal to 0 75 Is this statement true, false, or is it impossible to say without more information Clearly justify your answer The time it takes me to drive to work every day is a random variable with mean 10 minutes and variance 9 minutes Assume I drive to work 260 days each year Let random variable Y be the total amount of time I spend driving to work each year What is the expected value of Y

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Question: The probability that some random variable X is within plus or minus 3 standard deviations of its mean is equal to 0.75. Is this statement

"The probability that some random variable X is within plus or minus 3 standard deviations of its mean is equal to 0.75".

Is this statement true, false, or is it impossible to say without more information? Clearly justify your answer.

The time it takes me to drive to work every day is a random variable with mean 10 minutes and variance 9 minutes. Assume I drive to work 260 days each year. Let random variable Y be the total amount of time I spend driving to work each year.

What is the expected value of Y?

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