he thicknesses of glass sheets produced by a certain process are normally distributed with a mean of μ =3.50 mm and a standard deviation of σ = 0.15 mm. a) What is the probability that a glass sheet is thicker than 3.75 mm? b) What is the probability that a glass sheet is thinner than 3.30 mm? c) What is the probability that a glass sheet is between 3.25mm and 3.75mm? d) What is the value of c for which there is a 99% probability that a glass sheet has a thickness within the interval [3.50 − c, 3.50 + c]?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...
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The thicknesses of glass sheets produced by a certain process are normally distributed with a
mean of μ =3.50 mm and a standard deviation of σ = 0.15 mm.
a) What is the probability that a glass sheet is thicker than 3.75 mm?
b) What is the probability that a glass sheet is thinner than 3.30 mm?
c) What is the probability that a glass sheet is between 3.25mm and 3.75mm?
d) What is the value of c for which there is a 99% probability that a glass sheet has a
thickness within the interval [3.50 − c, 3.50 + c]?

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,