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) Low (B') High (A) Low (A') Scratch 80 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 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?
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) Low (B') High (A) Low (A') Scratch 80 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 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?
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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)
Low (B')
High (A)
Low (A')
Scratch
80
9
Resistance
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
d
ar ntr u
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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