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Ina survey of 241 professional athletes, was found that 113 pfilthem owned convertible; 106 oftherti owned glant screen TV, and 113 goods store. 23 owned convertibl...

Question

Ina survey of 241 professional athletes, was found that 113 pfilthem owned convertible; 106 oftherti owned glant screen TV, and 113 goods store. 23 owned convertible and eTVa: {Jantveell threndems owned sporting store,/50 owned and store; and owned covertib and1. How many athletes did not own any ofithe threc itemy?2. How many owned covertible and aTV but not store?lHow many athletes owned convertibi prla TV?How many athletes ownep exactly pne type of itemlinithe survev?How manyiathletes owned a

Ina survey of 241 professional athletes, was found that 113 pfilthem owned convertible; 106 oftherti owned glant screen TV, and 113 goods store. 23 owned convertible and eTVa: {Jantveell threndems owned sporting store,/50 owned and store; and owned covertib and 1. How many athletes did not own any ofithe threc itemy? 2. How many owned covertible and aTV but not store?l How many athletes owned convertibi prla TV? How many athletes ownep exactly pne type of itemlinithe survev? How manyiathletes owned at leastione type ofitem inthe survey] 6, How manxownied Mor Store, outnot convertible?



Answers

Sports In survey of students about favorites, the results include 22 who like tennis, 25 who like football, 9 who like tennis and football, 17 who like tennis and baseball, 20 who like football and baseball, 6 who like all three sports, and 4 who like none of the sports. How many students like only tennis and football? How many students like only tennis and baseball? How many students like only baseball and football?

All right. This question deals was sampling from a distribution of Size 10 where seven people prefer football while three prefer basketball. So first it wants for party the probability that a sample of two people out of three prefer football and that plugging into her hyper geometric formula we have. They're seven people that like football, and we want two of them. And then there are three people that prefer basketball, and we want one of them and they're 10 people, and we're choosing three of them for our sample. And that is 0.52 five. And then Part B asks, What is the probability that X equals two or X equals three, which is the same thing as P of two, which we already know, plus p of three, Which they're seven. That like football, we want three of them. There are three people that prefer basketball. We want zero of them and there are 10 people to pick from and we want three of them. And that works out to be 0.8167 because recall that this is 0.5 to 5, as calculated in party

I've got to 31 so 60% off 250 simple is $150. So the probability that X bigger than or equal to 150 is that X is bigger than 149.5. So convert the extras end, so that is bigger than why 11.491 minus for it off said there for 49 which is equal to one minus 1 30.

All right. Just gonna do the part divided by the whole thing. Okay, so we've got, um, 62.0 1,000,000 people that owned three or more TV. So at least three TVs and then we've got 100 and 14.9 million that own at least one. So the percent of the people that own at least three out of the out of the total that own at least one will be 62 divided by 1 14.9 Go to our calculator. And that's, um what do we get around to? We'll go to one decimal place. So it's about 10.5395 So what, 54.0%?

All right. So out of all the people that own a TV, which is 100 14.9 million people, there were a certain section of them that also owned a DVD player, and that is 102.2 million. So if we just divide one by the other, um, we'll get the percentage of the people that own TV that also own a DVD player. All right, so 102.2 divided by 1 14.9 That comes out to 88 point 9% of around a one decimal place. So that's what we'll go with 88.9%.


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