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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.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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.
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.
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