Exercise 2.2 (Probability of Joint Event) Test results of scratch resistance and shock resistance for 100 đisks of polycarbonate plastic are as follows: Shock Resistance High (B) 80 6 Low (B ') High (4) Scratch | Resistance | Low (A') 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. ANSWER EXERCISE 2.3 ONLY

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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
Low (B')
High (B)
Scratch
Resistance
High (4)
Low (A')
80
9
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.
ANSWER EXERCISE 2.3 ONLY
Exercise 2.3 (Conditional Probability) In Exercise 2.2, find the probability that a disk
has high scratch resistance (A) 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 Low (B') High (B) Scratch Resistance High (4) Low (A') 80 9 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. ANSWER EXERCISE 2.3 ONLY Exercise 2.3 (Conditional Probability) In Exercise 2.2, find the probability that a disk has high scratch resistance (A) when it has high shock resistance (B).
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