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An unknown distribution has a mean of 80 and a standard deviation of 12. A sample...

An unknown distribution has a mean of 80 and a standard deviation of 12. A sample size of 95 is drawn randomly from the population.

a. Find the probability that the sum of the 95 values is greater than 7,650.

b. Find the probability that the sum of the 95 values is less than 7,400.

c. Find the sum that is two standard deviations above the mean of the sums.

d. Find the sum that is 1.5 standard deviations below the mean of the sums.

Solutions

Expert Solution

a) The probability that the sum of the 95 values is greater than 7,650 is

b) The probability that the sum of the 95 values is less than 7,400.is

c) The sum that is two standard deviations above the mean of the sums is

d) The sum that is 1.5 standard deviations below the mean of the sums is

orchestra answered 2 years ago
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