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

Problems 653

19.23.For Problem 19.22, calculate the probability distribu-

tion and plot the probability distribution curve.

19.24.For Problem 19.22, determine the probability (assum-

ing normal distribution) that a light bulb would have

a life expectancy between 800 and 1000 hours.

19.25.For Problem 19.22, determine the probability (assum-

ing normal distribution) that a light bulb would have

a life expectancy greater than 1000 hours.

19.26.For Problem 19.22, determine the probability (assum-

ing normal distribution) that a light bulb would have

a life expectancy less than 900 hours.

19.27.As a mechanical engineer working for an automobile

manufacturer, you conduct a survey and collect the fol-

lowing data in order to study the performance of an

engine that was designed many years ago. Plot the data

and calculate the mean and standard deviation.

19.33.As an engineer working for a water bottling company,

you collect the following data in order to test the per-

formance of the bottling systems. Plot the data and cal-

culate the mean and standard deviation.

Miles Driven before a

Need for an Engine

Maintenance Frequency

70,000 12

80,000 17

90,000 22

100,000 33

110,000 42

120,000 30

130,000 24

140,000 15

150,000 11

Milliliters of Water

in the Bottle Frequency

485 13

490 17

495 25

500 40

505 23

510 18

515 15

Miles with

Acceptable

(Reliable) Wear Frequency

30,000 15

35,000 20

40,000 34

45,000 32

50,000 22

55,000 16

19.28.For Problem 19.27, calculate the probability distribu-

tion and plot the probability distribution curve.

19.29.For Problem 19.27, determine the probability (assum-

ing normal distribution) that a car would need engine

maintenance between 70,000 and 90,000 miles.

19.30.For Problem 19.27, determine the probability (assum-

ing normal distribution) that a car would need engine

maintenance after 100,000 miles.

19.31.For Problem 19.27, determine the probability (assum-

ing normal distribution) that a car would need engine

maintenance before 85,000 miles.

19.32.For Problem 19.27, determine the probability (assum-

ing normal distribution) that a car would need engine

maintenance before 90,000 miles.

19.34.For Problem 19.33, calculate the probability distribu-

tion and plot the probability distribution curve.

19.35.For Problem 19.33, determine the probability (assum-

ing normal distribution) that a bottle would be filled

between 500 and 515 milliliters.

19.36.For Problem 19.33, determine the probability (assum-

ing normal distribution) that a bottle would be filled

with more than 495 milliliters.

19.37.For Problem 19.33, determine the probability (assum-

ing normal distribution) that a bottle would be filled

with less than 500 milliliters.

19.38.For Problem 19.33, determine the probability (assum-

ing normal distribution) that a bottle would be filled

with less than 495 milliliters.

19.39.As a chemical engineer working for a tire manufacturer,

you collect the following data in order to test the per-

formance of tires. Plot the data and calculate the mean

and standard deviation.

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