A restaurant chain has locations across the United States. The table below shows the size of...

Transcribed Image Text:

A restaurant chain has locations across the United States. The table below shows the size of the city and the region of the country where their restaurants are located. Compute the indicated values, rounding your answers to three decimal places, if necessary. Capture- the indicated values, rounding your answers to three decimal places, if necessary. Northeast Southeast Southwest Northwest Total Small 2 14 7 0 23 Moderate 36 5 29 12 Larger 48 48 Total 10 10 98 86 29 29 17 17 82 22 60 60 135 33 53 72 240 i. What is the marginal frequency for Moderate cities? ii. What is the probability that a randomly selected restaurant is in a Small city in the Southeast? iii. What is the probability that a randomly selected restaurant is in a Small city or in the Southeast? iv. What is the probability that a randomly selected restaurant is in the Southwest or the Northwest? v. What is the probability that a randomly selected restaurant is in a Large city, given it is in the Northeast? vi. What is the probability that a randomly selected restaurant is in the Northeast, given it is in a Large city? vii. What is the probability that two randomly selected restaurants will both be in Large cities, if they are selected with replacement? viii. What is the probability that two randomly selected restaurants will both be in Large cities, if they are selected without replacement? A restaurant chain has locations across the United States. The table below shows the size of the city and the region of the country where their restaurants are located. Compute the indicated values, rounding your answers to three decimal places, if necessary. Capture- the indicated values, rounding your answers to three decimal places, if necessary. Northeast Southeast Southwest Northwest Total Small 2 14 7 0 23 Moderate 36 5 29 12 Larger 48 48 Total 10 10 98 86 29 29 17 17 82 22 60 60 135 33 53 72 240 i. What is the marginal frequency for Moderate cities? ii. What is the probability that a randomly selected restaurant is in a Small city in the Southeast? iii. What is the probability that a randomly selected restaurant is in a Small city or in the Southeast? iv. What is the probability that a randomly selected restaurant is in the Southwest or the Northwest? v. What is the probability that a randomly selected restaurant is in a Large city, given it is in the Northeast? vi. What is the probability that a randomly selected restaurant is in the Northeast, given it is in a Large city? vii. What is the probability that two randomly selected restaurants will both be in Large cities, if they are selected with replacement? viii. What is the probability that two randomly selected restaurants will both be in Large cities, if they are selected without replacement?