Problem: The weight of food packed in certain containers is a normally distributed random variable with a mean weight of 500 kilos and a standard deviation of 5 kilos. Suppose a container is picked at random. Find the probability that it contains a. More than 510 kilos b. Less than 498 kilos c. Between 491 and 498 kilos

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Problem: The weight of food packed in certain
containers is a normally distributed random
variable with a mean weight of 500 kilos and a
standard deviation of 5 kilos. Suppose a
container is picked at random. Find the
probability that it contains
a. More than 510 kilos
b. Less than 498 kilos
c. Between 491 and 498 kilos
Problem 2: The amount of annual rainfall in a
certain region is known from past experience
to be a normally distributed random variable
with mean annual rainfall of 15 centimeters
and a standard deviation of 4 centimeters. . If
the rainfall exceeds 157 centimeters during a
yea, it leads to floods. Find the probability that
during a randomly picked year there will be
floods.
Transcribed Image Text:Problem: The weight of food packed in certain containers is a normally distributed random variable with a mean weight of 500 kilos and a standard deviation of 5 kilos. Suppose a container is picked at random. Find the probability that it contains a. More than 510 kilos b. Less than 498 kilos c. Between 491 and 498 kilos Problem 2: The amount of annual rainfall in a certain region is known from past experience to be a normally distributed random variable with mean annual rainfall of 15 centimeters and a standard deviation of 4 centimeters. . If the rainfall exceeds 157 centimeters during a yea, it leads to floods. Find the probability that during a randomly picked year there will be floods.
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