3. Suppose the force acting on a column that helps to support a building is normally distributed with mean 15 kips and standard deviation 1.25 kips. a) What is the probability that the force is at most 18 kips? b) What is the probability that the force is between 10 and 12 kips? c) What is the probability that the force differs from 15 kips by at most 2 standard deviations?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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3. Suppose the force acting on a column that helps to
support a building is normally distributed with mean
15 kips and standard deviation 1.25 kips.
a) What is the probability that the force is at most
18 kips?
b) What is the probability that the force is between
10 and 12 kips?
c) What is the probability that the force differs
from 15 kips by at most 2 standard deviations?
d) How would you characterize the largest 5% of
all values of the force?
Transcribed Image Text:3. Suppose the force acting on a column that helps to support a building is normally distributed with mean 15 kips and standard deviation 1.25 kips. a) What is the probability that the force is at most 18 kips? b) What is the probability that the force is between 10 and 12 kips? c) What is the probability that the force differs from 15 kips by at most 2 standard deviations? d) How would you characterize the largest 5% of all values of the force?
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