Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized below: Shock resistance High 70 16 Low High Low Scratch 9 resistance Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. Determine the number of disks in: а. А' b. В C. ANB d. AUB
Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized below: Shock resistance High 70 16 Low High Low Scratch 9 resistance Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. Determine the number of disks in: а. А' b. В C. ANB d. AUB
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:1. Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance.
The results from 100 disks are summarized below:
Shock resistance
High
70
16
Low
Scratch
resistance
High
Low
9.
Let A denote the event that a disk has high shock resistance, and let B denote the event that
a disk has high scratch resistance. Determine the number of disks in:
a. A'
b. В
C. ANB
d. AuB
2. The rise time of a reactor is measured in minutes (and fractions of minutes). Let the sample
space for the rise time of each batch be positive, real numbers. Consider the rise times of two
batches. Let A denote the event that the rise time of batch 1 is less than 72.5 minutes, and
let B denote the event that the rise time of batch 2 is greater than 52.5 minutes. Describe
the sample space for the rise time of two batches graphically and show each of the following
events on a two-dimensional plot:
а. А
b. B'
C. ANB
d. AUB
3. Samples of emissions from three suppliers are classified for conformance to air-quality
specifications. The results from 100 samples are summarized as follows:
Conforms
Yes
22
25
30
No
1
8
Suppliers
3
10
Let A denote the event that a sample is from supplier 1, and let B denote the event that a
sample conforms to specifications. If a sample is selected at random, determine the following
probabilities:
а. Р(А)
b. P(B)
с. Р(А')
d. P(A N B)
e. P(A U B)
f. P(A' U B)
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