Below, the two-way table is given for a class * of students. Freshmen Sophomore Juniors Seniors Total Male 4 2 Female 3. 4. 3 Total If a student is selected at random, find the probability the student is a freshman given that the student is male. P( Freshman | Male) = [ ? ]% Round to the nearest whole percent. %3D Enter

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Below is a two-way table given for a class of students:

|          | Freshmen | Sophomore | Juniors | Seniors | Total |
|----------|----------|-----------|---------|---------|-------|
| Male     | 4        | 6         | 2       | 2       |       |
| Female   | 3        | 4         | 6       | 3       |       |
| Total    |          |           |         |         |       |

- The table categorizes students by gender (Male, Female) and class year (Freshmen, Sophomore, Juniors, Seniors).

The problem asks:
If a student is selected at random, find the probability that the student is a freshman given that the student is male.
- \( P(\text{Freshman} \mid \text{Male}) = \,? \%\)
- Round to the nearest whole percent.
Transcribed Image Text:Below is a two-way table given for a class of students: | | Freshmen | Sophomore | Juniors | Seniors | Total | |----------|----------|-----------|---------|---------|-------| | Male | 4 | 6 | 2 | 2 | | | Female | 3 | 4 | 6 | 3 | | | Total | | | | | | - The table categorizes students by gender (Male, Female) and class year (Freshmen, Sophomore, Juniors, Seniors). The problem asks: If a student is selected at random, find the probability that the student is a freshman given that the student is male. - \( P(\text{Freshman} \mid \text{Male}) = \,? \%\) - Round to the nearest whole percent.
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