Q Lumen OHM B Welcome, Emigdio - Blackboard x a SOLUTION: Find P(A and B). (Giv x A ohm.lumenlearning.com/assess2/?cid%3D57357&aid%3D4164358#/skip/17 My LaGuardia - Stu. OLumen OHM Outlook - free pers... SV CUNY Blackboard- Tips & Tools - The.. Giving a test to a group of students, the grades and gender are summarized below A C Total Male 16 13 37 Female 11 19 Total 13 27 16 56 Give your answers as a fraction or decimal. If one student was chosen at random, (a) Find the probability that the student got a B. (b) Find the probability that the student did NOT get an "A". (c) Find the probability that the student was female AND got a "C". (d) Find the probability that the student was male GIVEN they got a 'B'. 5.

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**Title: Understanding Probability Through Student Grades and Gender**

**Overview:**

In this lesson, students will explore probability using data from a group of students' test grades and gender distribution. The data is represented in a table, and the goal is to determine various probabilities based on this information.

**Data Summary:**

The table organizes grades and gender as follows:

|        | A  | B  | C  | Total |
|--------|----|----|----|-------|
| Male   | 8  | 16 | 13 | 37    |
| Female | 5  | 11 | 3  | 19    |
| Total  | 13 | 27 | 16 | 56    |

**Probability Questions:**

Provide answers as a fraction or decimal.

1. **Probability of a Student Getting a B:**
   - What is the probability that a randomly chosen student scored a B?

2. **Probability of NOT Getting an A:**
   - What is the probability that a student did not get an A?

3. **Probability of Being Female and Getting a C:**
   - What is the likelihood that a student is female and received a C?

4. **Conditional Probability - Male Given B:**
   - What is the probability that a student is male, given that they got a B?

5. **Conditional Probability - B Given Female:**
   - What is the probability that a student got a B, given that they are female?

Use this information to guide students through solving each probability scenario, fostering critical thinking and data analysis skills.
Transcribed Image Text:**Title: Understanding Probability Through Student Grades and Gender** **Overview:** In this lesson, students will explore probability using data from a group of students' test grades and gender distribution. The data is represented in a table, and the goal is to determine various probabilities based on this information. **Data Summary:** The table organizes grades and gender as follows: | | A | B | C | Total | |--------|----|----|----|-------| | Male | 8 | 16 | 13 | 37 | | Female | 5 | 11 | 3 | 19 | | Total | 13 | 27 | 16 | 56 | **Probability Questions:** Provide answers as a fraction or decimal. 1. **Probability of a Student Getting a B:** - What is the probability that a randomly chosen student scored a B? 2. **Probability of NOT Getting an A:** - What is the probability that a student did not get an A? 3. **Probability of Being Female and Getting a C:** - What is the likelihood that a student is female and received a C? 4. **Conditional Probability - Male Given B:** - What is the probability that a student is male, given that they got a B? 5. **Conditional Probability - B Given Female:** - What is the probability that a student got a B, given that they are female? Use this information to guide students through solving each probability scenario, fostering critical thinking and data analysis skills.
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