Download Normal Probability Distributions Applications of Normal Distribution

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Elementary Statistics, by M.F. Triola, 10th Ed., Addison Wesley
Normal Probability Distributions
Applications of Normal Distribution
Assume that X has a normal distribution, and find the indicated probability.
1) The mean is μ = 60.0 and the standard deviation is σ = 4.0.
Find the probability that X is less than 53.0.
2) The mean is μ = 15.2 and the standard deviation is σ = 0.9.
Find the probability that X is greater than 17.
Elementary Statistics, by M.F. Triola, 10th Ed., Addison Wesley
1)
2)
Elementary Statistics, by M.F. Triola, 10th Ed., Addison Wesley
Solve the problem.
3) A bankʹs loan officer rates applicants for credit. The ratings are normally distributed with
a mean of 200 and a standard deviation of 50. Find P60, the score which separates the
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lower 60% from the top 40%.
Find the indicated probability.
4) The incomes of trainees at a local mill are normally distributed with a mean of $1100 and a
standard deviation of $150. What percentage of trainees earn less than $900 a month?
Elementary Statistics, by M.F. Triola, 10th Ed., Addison Wesley
4)
Elementary Statistics, by M.F. Triola, 10th Ed., Addison Wesley
5) The diameters of pencils produced by a certain machine are normally distributed with a
mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that
the diameter of a randomly selected pencil will be less than 0.285 inches?
Elementary Statistics, by M.F. Triola, 10th Ed., Addison Wesley
5)
Answer Key
Testname: 22_APPLIC_ND
1)
2)
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4)
5)
0.0401
0.0228
212.5
9.18%
0.0668
Elementary Statistics, by M.F. Triola, 10th Ed., Addison Wesley
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