Question 2: Axioms, interpretations and properties of probability A factory manufactures three devices: smartphones, laptops and tablets. The percentages of defective devices produced during one week are given in the table. Smartphones Laptops Tablets Battery defect Crack Surface defect Sim-card slot defect Other 15 24 40 10 21 50 15 28 44 20 12 During this one week, 500 nonconforming smartphones were produced, 600 nonconforming laptops. and 400 nonconforming tablets. Suppose that one of these 1500 devices is randomly selected. a) What is the probability that the device is a smartphone? What is the probability that the reason for a nonconforming device is a sim-card slot defect? b) If the selected device is a laptop, what is the probubility that it has a crack? ) Given that the selected device has a crack, what is the probability that it is a smartphone? d) Suppose that the factory has to stop the production of one of the devices. Should it stop the production of smartphones, laptops or tablets? Explain your choice.
Question 2: Axioms, interpretations and properties of probability A factory manufactures three devices: smartphones, laptops and tablets. The percentages of defective devices produced during one week are given in the table. Smartphones Laptops Tablets Battery defect Crack Surface defect Sim-card slot defect Other 15 24 40 10 21 50 15 28 44 20 12 During this one week, 500 nonconforming smartphones were produced, 600 nonconforming laptops. and 400 nonconforming tablets. Suppose that one of these 1500 devices is randomly selected. a) What is the probability that the device is a smartphone? What is the probability that the reason for a nonconforming device is a sim-card slot defect? b) If the selected device is a laptop, what is the probubility that it has a crack? ) Given that the selected device has a crack, what is the probability that it is a smartphone? d) Suppose that the factory has to stop the production of one of the devices. Should it stop the production of smartphones, laptops or tablets? Explain your choice.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Question 2: Asioms, interpretations and properties of probability
A factory manufactures three devices: smartphones, laptops and tablets. The percentages of defective
devices produced during one week are given in the table.
Smartphones Laptops
Tablets
Battery defect
Crack
Surface defect
Sim-card slot defect
4
10
15
21
24
28
50
40
44
Other
15
20
12
During this one week, S00 nonconforming smartphones were produced, 600 nonconforming laptops,
and 400 nonconforming tablets. Suppose that one of these 1500 devices is randomly selected.
a) What is the probability that the device is a smartphone? What is the probability that the reason
for a nonconforming device is a sim-card slot defect?
b) If the selected deviece is a laptop, what is the probability that it has a cerack?
) Given that the selected device has a crack, what is the probability that it is a smartphone?
d) Suppose that the fauctory has to stop the production of one of the devices. Should it stop the
production of smartphones, laptops or tablets? Explain your choice.
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