In a certain city, milk tanker trunks follow a daily routine, stopping at the same dairy farms every day. Farm output, however, varies because of weather, time of the year, number of cows, and other factors. From years of recorded data, the mean amount of milk picked up by a truck for processing is 7,750 litres, with a standard deviation of 150 litres. Suppose 36 trucks are randomly selected. (a) Find the probability that the sample mean amount of milk picked by the 36 trucks is more than 7,800 litres. (b) Find the value m such that the probability that the sample mean is less than m is 0.1.
In a certain city, milk tanker trunks follow a daily routine, stopping at the same dairy farms every day. Farm output, however, varies because of weather, time of the year, number of cows, and other factors. From years of recorded data, the mean amount of milk picked up by a truck for processing is 7,750 litres, with a standard deviation of 150 litres. Suppose 36 trucks are randomly selected. (a) Find the probability that the sample mean amount of milk picked by the 36 trucks is more than 7,800 litres. (b) Find the value m such that the probability that the sample mean is less than m is 0.1.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In a certain city, milk tanker trunks follow a daily routine, stopping at
the same dairy farms every day. Farm output, however, varies because
of weather, time of the year, number of cows, and other factors. From
years of recorded data, the mean amount of milk picked up by a truck
for processing is 7,750 litres, with a standard deviation of 150 litres.
Suppose 36 trucks are randomly selected.
(a) Find the probability that the sample mean amount of milk picked
by the 36 trucks is more than 7,800 litres.
(b) Find the value m such that the probability that the sample mean
is less than m is 0.1.
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