at a local coffee shop, the manager has determined that 56% of drink orders are for specialty espresso…

at a local coffee shop, the manager has determined that 56% of drink orders are for specialty espresso drinks and 44% are for plain coffee. the manager also noted that 40% of customers order food. for customers who purchase the specialty espresso drinks, 35% also purchase a food item, and for customers who purchase plain coffee, 30% also purchase a food item. the tree diagram displays the possible outcomes of orders at this coffee shop. which probability is represented by label 4 in the tree diagram? 0.30 0.35 0.44 0.56

at a local coffee shop, the manager has determined that 56% of drink orders are for specialty espresso drinks and 44% are for plain coffee. the manager also noted that 40% of customers order food. for customers who purchase the specialty espresso drinks, 35% also purchase a food item, and for customers who purchase plain coffee, 30% also purchase a food item. the tree diagram displays the possible outcomes of orders at this coffee shop. which probability is represented by label 4 in the tree diagram? 0.30 0.35 0.44 0.56

Answer

Explanation:

Step1: Identify the relevant information

We know that 44% of drink - orders are for plain coffee. For customers who purchase plain coffee, 30% also purchase a food item. Label 4 corresponds to the probability that a customer who orders plain coffee also orders food.

Step2: Calculate the probability

The probability that a customer orders plain coffee is 0.44, and the conditional probability that a customer orders food given that they order plain coffee is 0.30. But we are only interested in the probability that a customer who orders plain coffee orders food, which is 0.30.

Answer:

0.30