Solution Found!
Answer: Disks of polycarbonate plastic from a supplier are
Chapter 2, Problem 85E(choose chapter or problem)
Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows:
(a) If a disk is selected at random, what is the probability that its scratch resistance is high and its shock resistance is high?
(b) If a disk is selected at random, what is the probability that its scratch resistance is high or its shock resistance is high?
(c) 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?
Questions & Answers
QUESTION:
Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows:
(a) If a disk is selected at random, what is the probability that its scratch resistance is high and its shock resistance is high?
(b) If a disk is selected at random, what is the probability that its scratch resistance is high or its shock resistance is high?
(c) 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?
ANSWER:Solution:
Step 1 of 2:
The results of 100 disks summarized are given.
Shock Resistance | |||
High |
Low |
||
Scratch |
High |
70 |
9 |
Resistance |
Low |
16 |
5 |
If a disk is selected at random, we have to find,
(a)The probability that its scratch resistance is high and its shock resistance is high. (b)The probability that its scratch resistance is high or its shock resistance is high.
(c)Whether the events that a disk has high scratch resistance and the event that a disk high shock resistance.