An unknown distribution has a mean of 90 and a standard deviation of 15. A sample of size 80 is drawn randomly from the population. a. Find the probability that the sum of the 80 values (or the total of the 80 values) is more than 7,500. b. Find the sum that is 1.5 standard deviations above the mean of the sums.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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An unknown distribution has a mean of 90 and a standard deviation of 15. A sample of size 80 is drawn randomly
from the population.
a. Find the probability that the sum of the 80 values (or the total of the 80 values) is more than 7,500.
b. Find the sum that is 1.5 standard deviations above the mean of the sums.
Transcribed Image Text:An unknown distribution has a mean of 90 and a standard deviation of 15. A sample of size 80 is drawn randomly from the population. a. Find the probability that the sum of the 80 values (or the total of the 80 values) is more than 7,500. b. Find the sum that is 1.5 standard deviations above the mean of the sums.
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