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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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