Exercise 2.5 (Independence) For the resistance test results in Exercise 2.2, the following probabilities have been calculated: 89 P(A) = 100 40 and P(A | B) = 43 Assess if events A and B are independent.
Exercise 2.5 (Independence) For the resistance test results in Exercise 2.2, the following probabilities have been calculated: 89 P(A) = 100 40 and P(A | B) = 43 Assess if events A and B are independent.
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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kindly help me with this exercise thank you!
answer exercise 2.5 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
Scratch
| Resistance
High (A)
Low (A')
Low (B')
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.
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 2.5 (Independence) For the resistance test results in Exercise 2.2, the
following probabilities have been calculated:
40
and P(A| B) =
89
P(A) =
100
43
Assess if events A and B are independent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28dec7ee-ff4b-411e-97c7-44fbabe60eb8%2F95bac3df-5905-41dc-8c6b-e4ead5a2d1c4%2F1rwfo2_processed.png&w=3840&q=75)
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
Scratch
| Resistance
High (A)
Low (A')
Low (B')
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.
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 2.5 (Independence) For the resistance test results in Exercise 2.2, the
following probabilities have been calculated:
40
and P(A| B) =
89
P(A) =
100
43
Assess if events A and B are independent.
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