1. An article in The Atlantic includes the following paragraph (you can find the
ID: 3354778 • Letter: 1
Question
1. An article in The Atlantic includes the following paragraph (you can find the full article at http /www.theatlantic.com/technology/archive/2015/08/hoarding-firefighting/402703/) Studies suggest about 2 to 5 percent of people hoard, but the firefighters I spoke with said they see hoarding conditions in about 25 percent of homes they enter. It's not clear whether hoarding is becoming more widespread, but some cities say they are seeing an uptick. If firefighters and city officials are sensing a rise, it might be because hoarding is more common among the elderly, and the U.S. population is rapidly aging. This article provides a number of probabilities, some conditional and some not. For the questions that follow, express the probabilities as described in parts (a) and (b) in terms of events and define the events you use. Where a numerical value is given, provide it. Note that no numerical values are given for some of the probabilities discussed; you should still list and describe them. (a) Describe the probabilities/events implied in the first sentence of the paragraph. (b) Describe the probabilities/events implied in the third sentence of the paragraph. Also provide an inequality comparingy the probabilites described there related to hoarding among the elderly.Explanation / Answer
(a) Probability of hoarding, as per studies = 0.02 to 0.03
Probability of hoarding among houses hit by fire = 0.25. This is a conditional probability, conditioned on the event that the house is hit by fire (house visited by fire fighters)
(b) The events are hoarding in households of elderly people and hoarding in households of non-elderly people.
Probability of hoarding in households of elderly people > probability of hoarding in households of non-elderly people.
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