Question

select the correct answer from each drop - down menu. each participant tastes snack a and snack b and then chooses their favorite. some participants have eaten snack a before and some have not. the results of the test are shown in a table. using the data in a table, the company that makes snack a calculates probabilities related to a random selected person.

	prefers snack a	prefers snack b	total
has not eaten snack a before	108	228	336
total	252	320	572

complete the conclusions based on the data in the table. given a person who has eaten snack a before, the customer wil given a person who has not eaten snack a before, the custome | change to snack b stay with snack a | reset next |

Explanation:

Step1: Calculate P(Prefer A | Eaten A)

We find the probability that someone who has eaten Snack A before prefers Snack A by dividing the number of people who have eaten A before and prefer A by the total who have eaten A before.
$\frac{144}{236} \approx 0.61$

Step2: Calculate P(Prefer B | Eaten A)

We find the probability that someone who has eaten Snack A before prefers Snack B by dividing the number of people who have eaten A before and prefer B by the total who have eaten A before.
$\frac{92}{236} \approx 0.39$

Step3: Calculate P(Prefer A | Not Eaten A)

We find the probability that someone who has not eaten Snack A before prefers Snack A by dividing the number of people who have not eaten A before and prefer A by the total who have not eaten A before.
$\frac{108}{336} \approx 0.32$

Step4: Calculate P(Prefer B | Not Eaten A)

We find the probability that someone who has not eaten Snack A before prefers Snack B by dividing the number of people who have not eaten A before and prefer B by the total who have not eaten A before.
$\frac{228}{336} \approx 0.68$

Answer:

1. Given a person who has eaten snack A before, the customer will stay with snack A
2. Given a person who has not eaten snack A before, the customer will change to snack B