Nearest integer and then summed


1. 95 numbers are rounded off to the nearest integer and then summed. If the individual round-off error are uniformly distributed over (?.5,.5) what is the probability that the resultant sum differs from the exact sum by more than 5?

2. If the average low temperature of a winter month in Rochester, NY, is 15? and the standard deviation is 5.9, then according to Chebyshev's theorem, the percentage of average low temperatures in Rochester, NY, between ?2.7? and 32.7? is ______ %

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Basic Statistics: Nearest integer and then summed
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