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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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.
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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