Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Below, a two-way table is given for student activities:

\begin{tabular}{|c|c|c|c|c|}
\hline & Sports & Drama & Work & Total \\
\hline Sophomore & 20 & 7 & 3 & 30 \\
\hline Junior & 20 & 13 & 2 & 35 \\
\hline Senior & 25 & 5 & 5 & 35 \\
\hline Total & 65 & 25 & 10 & 100 \\
\hline
\end{tabular}

Follow the steps to find the probability that a student is in sports, given that they are a senior.

First, find the probability that a student is a senior.
[tex]\[ P(\text{senior}) = \frac{35}{100} = 0.35 \][/tex]

Now, find the probability that a student is in sports, given that they are a senior.
[tex]\[ P(\text{sports | senior}) = \frac{\text{Number of seniors in sports}}{\text{Total number of seniors}} = \frac{25}{35} \][/tex]

Enter your answer in decimal form. Do not round.
[tex]\[ \boxed{0.714} \][/tex]

Sagot :

GinnyAnswer
To determine the probability that a student is a senior, follow these steps:

1. Identify the total number of students: 100.
2. Identify the number of senior students: 35.

The probability that a student is a senior is calculated by dividing the number of senior students by the total number of students:
[tex]\[ P(\text{senior}) = \frac{\text{Number of senior students}}{\text{Total number of students}} = \frac{35}{100} = 0.35 \][/tex]

So, the probability that a student is a senior is:
[tex]\[ P(\text{senior}) = 0.35 \][/tex]
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.