Exercise 2.2 (Probability of Joint Event) Test results of scratch resistance and shock resistance for 100 disks of polycarbonate plastic are as follows: Shock Resistance High (B) 80 Low (B') High (A) Low (A') Scratch 9 Resistance 6 5 Let A and A'denote the event that a disk has high scratch resistance and the event that a disk has low scratch resistance, respectively. Let B and B' denote the event that a disk has high shock resistance and the event that a disk has low shock resistance, respectively. 1. When a disk is selected at random, find the probability that both the scratch and shock resistances of the disk are high. 2. When a disk is selected at random, find the probability that the scratch or clusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting online, or transmitting in any for anical, photocopying, recording, or otherwise of any part of this document, without the prior written permission of SLU, is strictly pr shock resistance of the disk is high. 3. Consider the event that a disk has high scratch resistance and the event that a disk has high shock resistance. Are these two events mutually exclusive?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Exercise 2.2 (Probability of Joint Event) Test results of scratch resistance and shock
resistance for 100 disks of polycarbonate plastic are as follows:
Shock Resistance
High (B)
80
Low (B')
High (A)
Low (A')
Scratch
9
Resistance
6
5
Let A and A'denote the event that a disk has high scratch resistance and the
event that a disk has low scratch resistance, respectively. Let B and B' denote
the event that a disk has high shock resistance and the event that a disk has low
shock resistance, respectively.
1. When a disk is selected at random, find the probability that both the scratch
and shock resistances of the disk are high.
2. When a disk is selected at random, find the probability that the scratch or
clusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting online, or transmitting in any for
anical, photocopying, recording, or otherwise of any part of this document, without the prior written permission of SLU, is strictly pr
shock resistance of the disk is high.
3. Consider the event that a disk has high scratch resistance and the event that a
disk has high shock resistance. Are these two events mutually exclusive?
Transcribed Image Text:Exercise 2.2 (Probability of Joint Event) Test results of scratch resistance and shock resistance for 100 disks of polycarbonate plastic are as follows: Shock Resistance High (B) 80 Low (B') High (A) Low (A') Scratch 9 Resistance 6 5 Let A and A'denote the event that a disk has high scratch resistance and the event that a disk has low scratch resistance, respectively. Let B and B' denote the event that a disk has high shock resistance and the event that a disk has low shock resistance, respectively. 1. When a disk is selected at random, find the probability that both the scratch and shock resistances of the disk are high. 2. When a disk is selected at random, find the probability that the scratch or clusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting online, or transmitting in any for anical, photocopying, recording, or otherwise of any part of this document, without the prior written permission of SLU, is strictly pr shock resistance of the disk is high. 3. Consider the event that a disk has high scratch resistance and the event that a disk has high shock resistance. Are these two events mutually exclusive?
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