The highway department in a mid-size downtown has enough salt to handle a total of 80 inches of snowfall. The snowfall on any given day is a random variable with a mean of 1.5 inches and a standard deviation of 0.3 inches. Assuming the snowfalls on different days are independent, approximate the probability that the highway department has enough salt to last the next 50 days.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The highway department in a mid-size downtown has enough salt to handle a total of 80 inches of snowfall. The snowfall on any given day is a random variable with a mean of 1.5 inches and a standard deviation of 0.3 inches. Assuming the snowfalls on different days are independent, approximate the probability that the highway department has enough salt to last the next 50 days.

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