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24) Experience shows that 25% of all complaints about home telephone lines invol

ID: 3058534 • Letter: 2

Question

24) Experience shows that 25% of all complaints about home telephone lines involve static on the line. Fifty percent involve line deterioration. Thirty-five percent involve only line deterioration. What is the probability that a randomly selected complaint will involve both problems? Will involve neither problem? 29 It has been found that 80% of all accidents at foundries involve human error and 40% involve equipment malfunction. Thirty-five percent involve both problems. An accident at a foundry is investigated. What is the probability that human error alone was involved? 26) Assume that there is a 50% chance of hard drive damage if a power line to which a computer is connected is hit during an electrical storm. There is a 5% chance that an electrical storm will occur on any given summer day in a given area. If there is a 0.1% chance that the line will be hit during the storm, what is the probability that the line will be hit and there will be hard drive damage during the next electrical storm in this area?

Explanation / Answer

24) Experience shows that 25% of all complaints about home telephone lines involve static on the line. Fifty percent involve line deterioration. Thirty-five percent involve only line deterioration. What is the probability that a randomly selected complaint will involve both problems? Will involve neither problem? 29 It has been found that 80% of all accidents at foundries involve human error and 40% involve equipment malfunction. Thirty-five percent involve both problems. An accident at a foundry is investigated. What is the probability that human error alone was involved? 26) Assume that there is a 50% chance of hard drive damage if a power line to which a computer is connected is hit during an electrical storm. There is a 5% chance that an electrical storm will occur on any given summer day in a given area. If there is a 0.1% chance that the line will be hit during the storm, what is the probability that the line will be hit and there will be hard drive damage during the next electrical storm in this area?

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