Polycarbonate plastic samples are tested for scratch resistance and impact resistance. The results of 49 samples are summarized below: Impact resistance Scratch resistance High 40 2 Low 4 3 Total High Low Total a) If a circular plate is selected at random, what is the probability that its scratch resistance is high and its impact resistance is high? b) If a circular plate is selected at random, what is the probability that its scratch resistance is high or its impact resistance is high? c) Consider the event that a circular plate has high scratch resistance and the event that a circular plate has high impact resistance. Are these two events mutually exclusive?
Polycarbonate plastic samples are tested for scratch resistance and impact resistance. The results of 49 samples are summarized below: Impact resistance Scratch resistance High 40 2 Low 4 3 Total High Low Total a) If a circular plate is selected at random, what is the probability that its scratch resistance is high and its impact resistance is high? b) If a circular plate is selected at random, what is the probability that its scratch resistance is high or its impact resistance is high? c) Consider the event that a circular plate has high scratch resistance and the event that a circular plate has high impact resistance. Are these two events mutually exclusive?
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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
Transcribed Image Text:Polycarbonate plastic samples are tested for scratch resistance and impact resistance. The results
of 49 samples are summarized below:
Impact
resistance
Scratch resistance
High
40
2
Low
4
3
Total
High
Low
Total
a) If a circular plate is selected at random, what is the probability that its scratch resistance
is high and its impact resistance is high?
b) If a circular plate is selected at random, what is the probability that its scratch resistance
is high or its impact resistance is high?
c) Consider the event that a circular plate has high scratch resistance and the event that a
circular plate has high impact resistance. Are these two events mutually exclusive?
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