Engineering Fundamentals: An Introduction to Engineering, 4th ed.c

(Steven Felgate) #1

654 Chapter 19 Probability and Statistics in Engineering


19.40.For Problem 19.39, calculate the probability distribu-
tion and plot the probability distribution curve.
19.41. For Problem 19.39, determine the probability (assum-
ing normal distribution) that a tire could be used reli-
ably between 45,000 and 55,000 miles.
19.42.For Problem 19.39, determine the probability (assum-
ing normal distribution) that a tire could be used reli-
ably for more than 50,000 miles.
19.43.For Problem 19.39, determine the probability (assum-
ing normal distribution) that a tire could be used reli-
ably for less than 45,000 miles.
19.44.For Problem 19.39, determine the probability (assum-
ing normal distribution) that a tire could be used reli-
ably for less than 50,000 miles.

Class Experiments —Problems 19.45 through 19.50 are exper-
iments that are performed in class.

19.45.Your instructor will pass along an unopened bag of
Hershey’s kisses. You are to estimate the number of
kisses in the bag and write it down on a piece of paper.
Your instructor will then collect the data and share the
results with the class. Your assignment is to organize
the data per your instructor’s suggestion and calculate
the mean and standard deviation. Compute the prob-
ability distribution. Does your data distribution
approximate a normal distribution? Answer any addi-
tional questions that your instructor might ask.
19.46.Your instructor will ask for a volunteer in class. You are
to estimate his or her height in inches (or in cm) and
write it down on a piece of paper. Your instructor will
then collect the data and share the results with the class.
Your assignment is to organize the data per your
instructor’s suggestion and calculate the mean and stan-
dard deviation of the data. Compute the probability
distribution. Does your data distribution approximate
a normal distribution? Answer any additional questions
that your instructor might ask.

19.47.Your instructor will ask for a volunteer from class. You
are to estimate his or her mass in lbm(or in kg) and write
it down on a piece of paper. Your instructor will then
collect the data and share the results with the class.
Your assignment is to organize the data per your
instructor’s suggestion and calculate the mean and stan-
dard deviation of the data. Compute the probability
distribution. Does your data distribution approximate
a normal distribution? Answer any additional questions
that your instructor might ask.
19.48.You are to write down on a piece of paper the number
of credits you are taking this semester. Your instructor
will then collect the data and share the results with the
class. Calculate the mean and standard deviation of
the data. Assuming a normal distribution, determine
the probability that a student is taking between 12 to
15 credits this semester. What is the probability that a
student is taking less than 12 credits?
19.49.You are to write down on a piece of paper how much
(to the nearest penny) money you have on you. Your
instructor will then collect the data and share the
results with the class. Your assignment is to organize
the data per your instructor’s suggestion and calculate
the mean and standard deviation of the data. Assuming
a normal distribution, determine the probability that a
student has between $5 to $10. What is the probabil-
ity that a student has less than $10?
19.50.You are to write down your waist size on a piece of paper.
If you don’t know your waist size, ask your instructor for
a measuring tape. Your instructor will then collect the
data and share the results with the class. Your assignment
is to organize the data per your instructor’s suggestion
and calculate the mean and standard deviation of the
data. Assuming a normal distribution, determine the
probability that a student will have a waist size that is less
than 34 inches. What is the probability that a student
will have a waist size that is between 30 in. to 36 in.?

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