Question: 7. When a randomly selected number A is rounded off to its nearest integer RA, it is reasonable to assume that the round-off error A

7. When a randomly selected number A is rounded off to its nearest integer RA, it is reasonable to assume that the round-off error A − RA is uniformly distributed in

(−0.5, 0.5). If 50 numbers are rounded off to the nearest integer and then averaged, approximate the probability that the resulting average differs from the exact average of the 50 numbers by more than 0.1.

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