Use the given crosstabulation to find the following probability for a random res

Question

Use the given crosstabulation to find the following probability for a random restaurant:

a) The quality is very good.

b) The meal price is $30-39.

c) The quality is good and price is $20-29.

d) Having a meal $10-19, in a very good restaurant.

le czsof estaurant S as having a Very Good quality rating and a Meal Price tive variable $33. Thi categorical when creating is restaurant belongs to the cell in row 2 and column 3 of the crosstabulation shown 2.10. In constructing a crosstabulation, we simply count the number of restaurants a lation. that belong to each of the cells. TABLE 2.10 CROSSTABULATION OF QUALITY RATING AND MEAL PRICE DATA FOR 300 LOS ANGELES RESTAURANTS Meal Price $40-49 Total Quality Rating Good Very Good Excellent $10-19 42 34 2 78 $20-29 40 64 14 118 $30-39 2 46 28 84 150 0 28 300 Total

Explanation / Answer

a)P(quality is very good) =150/300 =0.5 (as 150 has very good quality rating out of 300)

b)P(meal price is $30-39) =76/300 =0.2533 (76 have meal price between 30-39 out of 300)

c) P(quality is good and price is $20-29) =40/300=0.1333

d)

P(meal price is $10-19 given a very good restaurant) =34/150=0.2267

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