Analyze the data in your two way table by finding...

Analyze the data in your two-way table by finding appropriate percentages for each bullet point below. Write each percentage as a ratio (e.g. 25 out of 40) and as a percentage (e.g. 25/40 = 62.5%). a) What is the probability of randomly selecting a female student? b) What percentage of students are males and seniors? c) What percentage of female students are sophomores? d) If we select a random student, what is the probability that they are male given that they are first- year? Contingency table results: Rows: Gender Columns: Class 1 2 3 4 Total Female 23 14 10 9 56 Male 11 14 12 7 44 Total 34 28 22 16 100

Transcript

00:01 We're looking at a bunch of data about student gender and what class level they're in, first through fourth year, freshman through seniors.

00:13 So let's write this out as a table.

00:17 First thing to just write this down, we've got female students and male students.

00:26 And then we have first years, second years, third years, and seniors.

00:31 Years and then there's the total number of students as well.

00:36 So looking at this breakdown, the number of female students that are first years are 23, 14 that are second years, 10 that are third and nine that are fourth years.

00:57 And that means that the total number is 56.

01:01 For the male students, there's 11, 14, 14, 12, and 7, which means there's a total of 44.

01:12 And that means that the total number of all first year students is 34, 28 for second year, 22 for third year, 16 for seniors, and the total number of all the students is 100.

01:29 So we've got four different probabilities that we wanna come up with.

01:34 The first one has to do with the probability of selecting a female student.

01:40 So selecting a female student, we know that there are 56 total.

01:45 And so when we're comparing this, we're talking about 56 out of 100 students, out of the total number.

01:53 And as a percentage, that would just be 56%.

01:56 So more than half.

02:00 Second one is about what percentage of students are males and seniors...