The results of scratch resistance and shock resistance for 100 disks of polycarbonate plastic are as follows: Shock Resistance High (B) Low (B') Scratch High (A) 80 Resistance Low (A') Let A and A' denote the event that a disk has high scratch resistance and the event that a disk has low scratch resistance, respectively. Let B and B' denote the event that a disk has high shock resistance and the event that a disk has low shock resistance, respectively. a) When a disk is selected at random, fine the probability that both the scratch and shock resistances of the disk are high. b) When a disk is selected at random, find the probability that the scratch or shock resistance of the disk 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? d) Find the probability that a disk has high scratch resistance (A) when it has high shock resistance (B).

The results of scratch resistance and shock resistance for 100 disks of polycarbonate plastic are as follows: Shock Resistance High (B) Low (B') Scratch High (A) 80 Resistance Low (A') Let A and A' denote the event that a disk has high scratch resistance and the event that a disk has low scratch resistance, respectively. Let B and B' denote the event that a disk has high shock resistance and the event that a disk has low shock resistance, respectively. a) When a disk is selected at random, fine the probability that both the scratch and shock resistances of the disk are high. b) When a disk is selected at random, find the probability that the scratch or shock resistance of the disk 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? d) Find the probability that a disk has high scratch resistance (A) when it has high shock resistance (B).

Name: The results of scratch resistance and shock resistance for 100 disks
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Description: The results of scratch resistance and shock resistance for 100 disks of polycarbonate plastic are asfollows:Shock ResistanceHigh (B)Low (B')ScratchHigh (A)Low (A')80Resistance5Let A and A' denote the event that a disk has high scratch resistance and

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

The results of scratch resistance and shock resistance for 100 disks of polycarbonate plastic are as
follows:
Shock Resistance
High (B)
Low (B')
Scratch
High (A)
Low (A')
80
Resistance
5
Let A and A' denote the event that a disk has high scratch resistance and the event that a disk has low
scratch resistance, respectively. Let B and B' denote the event that a disk has high shock resistance and
the event that a disk has low shock resistance, respectively.
a) When a disk is selected at random, fine the probability that both the scratch and shock resistances
of the disk are high.
b) When a disk is selected at random, find the probability that the scratch or shock resistance of the
disk 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?
d) Find the probability that a disk has high scratch resistance (A) when it has high shock resistance (B).

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