Exercise 2.5 (Independence) For the resistance test results in Exercise 2.2, the following probabilities have been calculated: 89 40 P(A) = and P(A | B) = 100 43 Assess if events A and B are independent.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') Scratch High (A) 80 9 Resistance Low (A') 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 clusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting online, or transmitting in any for anical, photocopying, recording, or otherwise of any part of this document, without the prior written permission of SLU, is strictly p 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