Answered

For all your questions, big or small, IDNLearn.com has the answers you need. Get the information you need from our community of experts who provide accurate and comprehensive answers to all your questions.

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 the table, the company that makes snack A calculates probabilities related to a randomly selected person.

\begin{tabular}{|c|c|c|c|}
\hline
& Prefers Snack A & Prefers Snack B & Total \\
\hline
Has Eaten Snack A before & 144 & 92 & 236 \\
\hline
Has Not Eaten Snack A before & 108 & 228 & 336 \\
\hline
Total & 252 & 320 & 572 \\
\hline
\end{tabular}

Complete the conclusions based on the data in the table.

Given a person who has eaten snack A before, the customer will [tex]$\square$[/tex]

Given a person who has not eaten snack A before, the customer will want to eat snack [tex]$\square$[/tex]

Sagot :

GinnyAnsweridn
Sure, let's break this down step-by-step, based on the data provided:

1. The table presents data for people who have either eaten or not eaten snack A before and their preferences for snack A or snack B.

[tex]\[ \begin{tabular}{|c|c|c|c|} \hline & Prefers Snack A & Prefers Snack B & Total \\ \hline Has Eaten Snack A before & 144 & 92 & 236 \\ \hline Has Not Eaten Snack A before & 108 & 228 & 336 \\ \hline Total & 252 & 320 & 572 \\ \hline \end{tabular} \][/tex]

2. Calculate the probability that a person who has eaten snack A before prefers snack A:
- Number of people who have eaten snack A and prefer snack A: 144
- Total number of people who have eaten snack A: 236

Probability = [tex]\( \frac{144}{236} = 0.6101694915254238 \)[/tex]

3. Calculate the probability that a person who has not eaten snack A before prefers snack B:
- Number of people who have not eaten snack A and prefer snack B: 228
- Total number of people who have not eaten snack A: 336

Probability = [tex]\( \frac{228}{336} = 0.6785714285714286 \)[/tex]

Now, let's fill in the conclusions based on these probabilities:

Given a person who has eaten snack A before, the customer will prefer snack A.

Given a person who has not eaten snack A before, the customer will want to eat snack B.
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.