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ID: 3256665 • Letter: P
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Previous 1 2 3 4 5 6 7 8 9 10 Question 4 of 12 (4 points) View problem in apopup Let's eat: A fast-food restaurant chain has 590 outlets in the United States. The following table categorizes them by city population size and location, and presents the number of restaurants in each category. A restaurant is to be chosen at random from the 590 to test market a new menu. Region Population of City NE SE SW NW Under 50,000 29 40 13 7 59 87 71 31 50.000-500.000 142 23 31 57 Over 500,000 Part a. Given that the restaurant is located in a city with a population over 500,000, what is the probability that it is in the Northeast? Given that the restaurant is located in a city with a population over 500,000, the probability is 0.561 b. Given that the restaurant is located in the Southeast, what is the probability that it is in a city with a population under 50.000? Given that the restaurant is located in the Southeast, the probability is 0.267 Part 2 out of 2 c, Given that the restaurant is located in the Southwest. what is the probability that it is in a Orwa touch access to NANO Con NekoExplanation / Answer
B. P(500000 or less given it is in SE)= P(500000 or less AND in SE)/ P( SE)= 40/(40+87+23)=40/150=0.267
C. Similarly, it is 13/(13+71+31)=0.113
D. 13/(29+40+13+7)=0.146
E. (23+31)/(40+87+23+13+71+31)=54/265=0
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