4. Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows: Shock resistance High Low High 70 16 Low 9. Scratch resistance 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? 5. A maintenance firm has gathered the following information regarding the failure mechanisms for air conditioning (AC) systems: Evidence of gas leaks Yes 55 32 No 17 3 Evidence of Yes No electrical failure The units without evidence of gas leaks or electrical failure showed other types of failure. If this is a representative sample of AC failure, find the probability: a. That failure involves a gas leak b. That there is evidence of electrical failure given that there was a gas leak c. That there is evidence of a gas leak given that there is evidence of electrical failure 6. Incoming calls to a customer service center are classified as complaints (75% of call) or requests for information (25% of calls). Of the complaints, 40% deal with computer equipment that does not respond and 57% deal with incomplete software installation; and in the remaining 3% of complaints the user has improperly followed the installation instructions. The requests for information are evenly divided on technical questions (50%) and requests to purchase more products (50%). a. What is the probability that an incoming call to the customer service center will be from a customer who has not followed installation instructions properly? b. Find the probability that an incoming call is a request for purchasing more products.
4. Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows: Shock resistance High Low High 70 16 Low 9. Scratch resistance 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? 5. A maintenance firm has gathered the following information regarding the failure mechanisms for air conditioning (AC) systems: Evidence of gas leaks Yes 55 32 No 17 3 Evidence of Yes No electrical failure The units without evidence of gas leaks or electrical failure showed other types of failure. If this is a representative sample of AC failure, find the probability: a. That failure involves a gas leak b. That there is evidence of electrical failure given that there was a gas leak c. That there is evidence of a gas leak given that there is evidence of electrical failure 6. Incoming calls to a customer service center are classified as complaints (75% of call) or requests for information (25% of calls). Of the complaints, 40% deal with computer equipment that does not respond and 57% deal with incomplete software installation; and in the remaining 3% of complaints the user has improperly followed the installation instructions. The requests for information are evenly divided on technical questions (50%) and requests to purchase more products (50%). a. What is the probability that an incoming call to the customer service center will be from a customer who has not followed installation instructions properly? b. Find the probability that an incoming call is a request for purchasing more products.
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...
Related questions
Question
Transcribed Image Text:4. Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance.
The results from 100 disks are summarized as follows:
Shock resistance
High
Low
High
70
16
Low
9.
Scratch resistance
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?
5. A maintenance firm has gathered the following information regarding the failure mechanisms
for air conditioning (AC) systems:
Evidence of gas leaks
Yes
55
32
No
17
3
Evidence of
Yes
No
electrical failure
The units without evidence of gas leaks or electrical failure showed other types of failure. If
this is a representative sample of AC failure, find the probability:
a. That failure involves a gas leak
b. That there is evidence of electrical failure given that there was a gas leak
c. That there is evidence of a gas leak given that there is evidence of electrical failure
6. Incoming calls to a customer service center are classified as complaints (75% of call) or
requests for information (25% of calls). Of the complaints, 40% deal with computer equipment
that does not respond and 57% deal with incomplete software installation; and in the
remaining 3% of complaints the user has improperly followed the installation instructions. The
requests for information are evenly divided on technical questions (50%) and requests to
purchase more products (50%).
a. What is the probability that an incoming call to the customer service center will be from
a customer who has not followed installation instructions properly?
b. Find the probability that an incoming call is a request for purchasing more products.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON