rcise 2.3 (Conditional Probability) In Exercise 2.2, find the probability that a disk has high scratch resistance (4) when it has high shock resistance (B).

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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answer exercise 2.3 only

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
6
Low (B')
Scratch
Resistance
High (A)
Low (A')
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
shock resistance of the disk 1s high.
3. Consider the event that a disk has high scratch resistance and the event that a
đisk has high shock resistance. Are these two events mutually exclusive?
Exercise 2.3 (Conditional Probability) In Exercise 2.2, find the probability that a disk
has high scratch resistance (4) when it has high shock resistance (B).
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 6 Low (B') Scratch Resistance High (A) Low (A') 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 shock resistance of the disk 1s high. 3. Consider the event that a disk has high scratch resistance and the event that a đisk has high shock resistance. Are these two events mutually exclusive? Exercise 2.3 (Conditional Probability) In Exercise 2.2, find the probability that a disk has high scratch resistance (4) when it has high shock resistance (B).
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