(3 points) Drinks and Popcorn. Movie theaters derive most of their income from s

Question

(3 points) Drinks and Popcorn. Movie theaters derive most of their income from sales at the snack counter so understanding consumer purchasing patterns helps managers decide which products should be bundled together. The table below summarizes the drink and popcorn purchases at the snack counter at a small-town theater on a Friday evening. Round all answers to two decimal places. Beverage Popcorn No Popcorn Total Drink115 No Drink75 Total 190 24 130 320 1. What proportion of customers purchased popcorn? 59.38 2. Of the customers who purchased popcorn, what proportion also purchased a drink? 60.53 3. Of the customers who did not purchase a drink, what proportion did not purchase popcorn? 24.24

Explanation / Answer

1)

P(Popcorn) = 190 / 320

= 0.59375

= 59.38%

2)

P(drink | popcorn) = P(drink And popcorn) / P(popcorn)

= 115 / 190

= 0.6053

= 60.53%

3)

P(No popcorn | no drink) = P(no popcorn and no drink) / P(no drink)

= 24 / 99

= 0.2424

= 24.24%

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