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 Low Scatch High 70 resistance Low 16 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 С. АПВ d. AUB
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 Low Scatch High 70 resistance Low 16 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 С. АПВ 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...
Related questions
Question
Transcribed Image Text: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
No
22
25
8
5
Suppliers
30
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)
c. P(A')
d. P(A N B)
e. P(A U B)
12 3
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
Low
Scratch
High
70
resistance
Low
16
5
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. B
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 4 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON