Disks of polycarbonate plastic from a supplier are an- alyzed for scratch and shock resistance. The results from 100 disks are summarized as follows: shock resistance high low scratch high 70 9 resistance low 16 5 (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?

Disks of polycarbonate plastic from a supplier are an- alyzed for scratch and shock resistance. The results from 100 disks are summarized as follows: shock resistance high low scratch high 70 9 resistance low 16 5 (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?

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Disks of polycarbonate plastic from a supplier are an-
alyzed for scratch and shock resistance. The results from 100
disks are summarized as follows:
shock resistance
high
low
scratch
high
70
9
resistance
low
16
5
(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?

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