6. Disks of polycarbonate plastic from a supplier are analyzed are analyzed for scratch resistance and shock resistance. The results from 100 disks are summarized below. shock resistance high low 6 scratch high 80 resistance low 9 5 Let A be the event that a disk has high scratch resistance and B the event that a disk has high shock resistance. a) Draw a Venn diagram containing the number of disks in each region of the sample space Sof the summarized data above. b) If a disk is selected at random, what is the probability that its scratch resistance is high and its shock resistance is high? c) If a disk is selected at random, what is the probability that its scratch resistance is high and its shock resistance is low? d) If a disk is selected at random, what is the probability that its scratch resistance is high or its shock resistance is low?

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...
icon
Related questions
Question
6. Disks of polycarbonate plastic from a supplier are analyzed are analyzed for scratch
resistance and shock resistance. The results from 100 disks are summarized below.
shock resistance
high low
high 80
resistance low 9
scratch
6
Let A be the event that a disk has high scratch resistance and B the event that a disk has
high shock resistance.
a) Draw a Venn diagram containing the number of disks in each region of the sample
space Sof the summarized data above.
b) If a disk is selected at random, what is the probability that its scratch resistance is
high and its shockresistance is high?
c) If a disk is selected at random, what is the probability that its scratch resistance is
high and its shock resistance is low?
d) If a disk is selected at random, what is the probability that its scratch resistance is
high or its shock resistance is low?
Transcribed Image Text:6. Disks of polycarbonate plastic from a supplier are analyzed are analyzed for scratch resistance and shock resistance. The results from 100 disks are summarized below. shock resistance high low high 80 resistance low 9 scratch 6 Let A be the event that a disk has high scratch resistance and B the event that a disk has high shock resistance. a) Draw a Venn diagram containing the number of disks in each region of the sample space Sof the summarized data above. b) If a disk is selected at random, what is the probability that its scratch resistance is high and its shockresistance is high? c) If a disk is selected at random, what is the probability that its scratch resistance is high and its shock resistance is low? d) If a disk is selected at random, what is the probability that its scratch resistance is high or its shock resistance is low?
Expert Solution
steps

Step by step

Solved in 5 steps with 6 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON