(c) Are the three events statistically independent? (Explain your answer). Probl
ID: 3046749 • Letter: #
Question
(c) Are the three events statistically independent? (Explain your answer). Problem 2 Disk of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows: skock resistance low high 70 high scratch resistance low 16 a) If a disk is selected at random, what is the probability that its scratch resistance is high b) If a disk is selected at random, what is the probability that its scratch resistance s high or c) Consider the event that a disk has high scratch resistance and the event that a disk has and its shock resistance is high? its shock resistance is high? high shock resistance. Are these two events mutually exclusive?Explanation / Answer
a) P(high scratch resistance and high shock resistance) = 70/100 = 0.7
b) P(high scratch resistance or high shock resistance) = P(high scratch resistance) + P(high shock resistance) - P(high scratch resistance and high shock resistance)
= (70 + 9)/100 + (70 + 16)/100 - 70/100
= 0.95
c) No, the two events are not mutually exclusive. Because, P(high scratch resistance and high shock resistance) is not equal to zero.
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