Polycarbonate plastic discs from a supplier are tested for scratch resistance and impact resistance. The sample is 100 discs, there are 86 discs with high impact resistance, 21 discs with low scratch resistance, 16 discs with high impact resistance and low scratch resistance. a) Create a contingency table b) What is the probability of having a high impact strength? c) What is the probability of a low scratch resistance? d) What is the probability of high scratch resistance and high impact resistance? e) If you have a high impact resistance, what is the probability of a high scratch resistance? f) What is the probability of high scratch resistance or low impact resistance?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Polycarbonate plastic discs from a supplier are tested for scratch resistance and impact resistance. The sample is 100 discs, there are 86 discs with high impact resistance, 21 discs with low scratch resistance, 16 discs with high impact resistance and low scratch resistance. 

a) Create a contingency table

b) What is the probability of having a high impact strength?

c) What is the probability of a low scratch resistance?

d) What is the probability of high scratch resistance and high impact resistance?

e) If you have a high impact resistance, what is the probability of a high scratch resistance?

f) What is the probability of high scratch resistance or low impact resistance?

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