Solution Found!
Solved: Disks of polycarbonate plastic from a supplier are
Chapter 2, Problem 70E(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:
Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. If a disk is selected at random, determine the following probabilities:
(a) \(P(A)\)
(b) \(P(B)\)
(c) \(P\left(A^{\prime}\right)\)
(d) \(P(A \cap B)\)
(e) \(P(A \cup B)\)
(f) \(P\left(A^{\prime} \cup B\right)\)
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:
Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. If a disk is selected at random, determine the following probabilities:
(a) \(P(A)\)
(b) \(P(B)\)
(c) \(P\left(A^{\prime}\right)\)
(d) \(P(A \cap B)\)
(e) \(P(A \cup B)\)
(f) \(P\left(A^{\prime} \cup B\right)\)
ANSWER:Step 1 of 6
(a)
The results from disks are summarized as follows:
Shock |
Resistance |
||
High |
Low |
||
Scratch |
High |
70 |
9 |
Resistance |
Low |
16 |
5 |
Let denote the event that a disk has high shock resistance, and let
denote the event that a disk has high scratch resistance.
If a disk is selected at random determine the following probabilities.
1.
Hence the is
__________________