# University of Virginia STAT STAT MISC Assuming that the observations and residuals are independent and have a Normal distribution with mean of 0, answer the following questions: For any

University of Virginia STAT STAT MISC Assuming that the observations and residuals are independent and have a Normal distribution with mean of 0, answer the following questions: For any

# Assuming that the observations and residuals are independent and have

a Normal distribution with mean of 0, answer the following questions:
For any residual, what is the probability it would be greater than 0?
What is the probability of observing a sequence of exactly 2 consecutive residuals that both have the same sign, i.e. two positives followed by a negative, or two negatives and then a positive?
What is the probability of observing exactly 3 consecutive residuals that all have the same sign?

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University of Virginia STAT STAT MISC Assuming that the observations and residuals are independent and have a Normal distribution with mean of 0, answer the following questions: For any
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What is the probability of observing exactly k consecutive residuals that all have the same sign, for any positive integer k?

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