A small computing center has found that the number of jobs s

A small computing center has found that the number of jobs submitted per day to its computers has a distribution that is approximately bell-shaped and symmetric, with a mean of 98 jobs and a standard deviation of 8. Where do we expect most (approximately 95%) of the distribution to fall?

Solution

By empirical rule, 95% lie within 2 standard deviation below and above the mean.

Thus, adding 2 standard deviations (8*2 = 16) to the mean (98), then 95% lie on

98 - 16 and 98 + 16

82 and 114 [ANSWER]