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11.12.-13-14-15 1116|17 Provious | 11 12 13 14 15 16 17 18 19 20 18 19 20 Next Q

ID: 3247066 • Letter: 1

Question

11.12.-13-14-15 1116|17 Provious | 11 12 13 14 15 16 17 18 19 20 18 19 20 Next Question 11 of 30 (5 points) View problem in a pop-up Part 3 Given that the restaurant is located in the Southwest, what is the probability that it is in a city with a population of 500,000 or less? Round your answer to four decimal places 7 Given that the restaurant is located in the Southwest, the probability is Correct answer: 0.75 85 Part 4 Given that the restaurant is located in a city with a population of 500,000 or less, what is the probability that it is in the Southwest? Round your answer to four decimal places Given that the restaurant is located in a city with a population of 500,000 or less, the probability is Correct answer: 0.2356 Part 5 Given that the restaurant is located in the South (either SE or SW), what is the probability that it is in a city with a population of 50,000 or more? Round your answer to four decimal places. Given that the restaurant is located in the South (either SE or SW), the probability is Correct answer About this Course sitisties Elementary Statistics Math 1442 Summer 8 Week 2017 Online 018 HYVCP-MEJ94 Prof. Kennedy 1st Ed Navidi, Monk 2017

Explanation / Answer

1) Given that the restaurant is located in a city with population over 500,000, the probability that it is is Northwest = Number of restaurants in NW and over 500,000 population / Number of restraurants in a city having population over 500,000

= 144/(144+25+26+65) = 0.5538

2) P(under 50,000 | southeast) = Number of under 50,000 and southeast / Number of locations under southeast = 39/(39 + 91 + 25)

= 0.2516

3) P(less than 500,000 | southwest) = number of southwest and less than 500,000 / number of southwest

= (13 +65) / (13 +65 + 26) = 0.75

4) P(southwest | less than 500,000) = number of restaurants in southwest and less than 500,000 / number of restaurnts in a city less than 500,000 = (13+65)/(28+60+39+91+13+65+1+34) = 0.2356

5) P(50,000 or more | SE or SW) = Number of restaurants in 50,000 or more and SE or SW)/ number of restaurants in SE or SW)

= (91+65+25+26)/(39+91+25+13+65+26) = 0.7992