In order to improve the production time, the supervisor of assembly lines in a manufacturing setting of computers has studied the time that it takes to assemble certain parts of a computer at various stations. She measures the time that it takes to assemble a specific part by 100 people at different shifts and on different days. The record of her study is organized and shown in Table 19.10. Based on data provided, we have calculated the probabilities correspond- ing to the time intervals that people took to assemble the parts. The prob- ability distribution for Example 19.4 is shown in Table 19.10 and Figure 19.5. Data Pertaining to Example 19.4 TABLE 19.10 Time That It Takes a Person to Assemble the Part (minutes) Frequency Probability 5 5 0.05 8 0.08 7 11 011 8 15 0.15 17 0.17 10 14 0.14 11 13 0.13 12 8 0.08 13 6. 0.06 14 0.03 E= 100 E=1 Again, note that the sum of probabilities is equal to 1. Also note that if we were to connect the midpoints of time results (as shown in Figure 19.5), we would have a curve that approximates a bell shape. As the number of data points increases and the intervals decrease, the probability-distribution curve becomes smoother. A probability distribution that has a bell-shaped curve is called a normal distribution. The probability distribution for many engineer- ing experiments is approximated by a normal distribution. 3.
In order to improve the production time, the supervisor of assembly lines in a manufacturing setting of computers has studied the time that it takes to assemble certain parts of a computer at various stations. She measures the time that it takes to assemble a specific part by 100 people at different shifts and on different days. The record of her study is organized and shown in Table 19.10. Based on data provided, we have calculated the probabilities correspond- ing to the time intervals that people took to assemble the parts. The prob- ability distribution for Example 19.4 is shown in Table 19.10 and Figure 19.5. Data Pertaining to Example 19.4 TABLE 19.10 Time That It Takes a Person to Assemble the Part (minutes) Frequency Probability 5 5 0.05 8 0.08 7 11 011 8 15 0.15 17 0.17 10 14 0.14 11 13 0.13 12 8 0.08 13 6. 0.06 14 0.03 E= 100 E=1 Again, note that the sum of probabilities is equal to 1. Also note that if we were to connect the midpoints of time results (as shown in Figure 19.5), we would have a curve that approximates a bell shape. As the number of data points increases and the intervals decrease, the probability-distribution curve becomes smoother. A probability distribution that has a bell-shaped curve is called a normal distribution. The probability distribution for many engineer- ing experiments is approximated by a normal distribution. 3.
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter19: Probability And Statistics In Engineering
Section: Chapter Questions
Problem 6P
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Question
For Example 19.4 , determine the probability that it will take a person longer than 7 minutes to assemble the computer parts.
Transcribed Image Text:In order to improve the production time, the supervisor of assembly lines in
a manufacturing setting of computers has studied the time that it takes to
assemble certain parts of a computer at various stations. She measures the
time that it takes to assemble a specific part by 100 people at different shifts
and on different days. The record of her study is organized and shown in
Table 19.10.
Based on data provided, we have calculated the probabilities correspond-
ing to the time intervals that people took to assemble the parts. The prob-
ability distribution for Example 19.4 is shown in Table 19.10 and Figure 19.5.
Data Pertaining to Example 19.4
TABLE 19.10
Time That It Takes a Person to
Assemble the Part (minutes)
Frequency
Probability
5
5
0.05
8
0.08
7
11
011
8
15
0.15
17
0.17
10
14
0.14
11
13
0.13
12
8
0.08
13
6.
0.06
14
0.03
E= 100
E=1
Again, note that the sum of probabilities is equal to 1. Also note that if we
were to connect the midpoints of time results (as shown in Figure 19.5), we
would have a curve that approximates a bell shape. As the number of data
points increases and the intervals decrease, the probability-distribution curve
becomes smoother. A probability distribution that has a bell-shaped curve is
called a normal distribution. The probability distribution for many engineer-
ing experiments is approximated by a normal distribution.
3.
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