Question

a restaurant owner has found that 80% of her customers return to the restaurant within two weeks. she wants to create a tool that will simulate the habits of her customers and allow her to predict the probability that three of the next four customers to visit her restaurant will return within two weeks. which spinner simulation uses an appropriate device and has the correct number of trials? a spinner divided into 5 congruent sectors, spun 3 times a spinner divided into 5 congruent sectors, spun 4 times a spinner divided into 2 congruent sectors, spun 3 times a spinner divided into 2 congruent sectors, spun 4 times

Explanation:

Step1: Analyze the probability of customers returning

Since 80% = $\frac{4}{5}$ of customers return, a spinner divided into 5 congruent sectors can be used where 4 sectors represent returning - customers and 1 represents non - returning customers. Also, we want to predict for 4 customers, so the number of trials should be equal to the number of customers.

Step2: Determine the correct spinner and number of trials

We need to simulate the behavior of 4 customers. So, the number of spins (trials) should be 4. A spinner divided into 5 congruent sectors, spun 4 times is the appropriate simulation as it can represent the 80% return rate and has the correct number of trials for the 4 - customer scenario.

Answer:

a spinner divided into 5 congruent sectors, spun 4 times