Question

below, the two-way table is given for class students if a student is selected at random , find the probability that the student is a junior given that the student is a junior/male

Answer 1

Answer:

14%

Step-by-step explanation:

So I'm assuming you meant to type, "find the probability that the student is a junior given that the student is male"

So by knowing the student is male, we only need to look at a sample of the population (class)

When looking only at males, there are 4 Freshman, 6 Sophomores, 2 Juniors, and 2 Seniors

We don't need to look at which females are Freshman, Sophomores, Juniors, and Seniors since we're given the fact that the student is Male, so Females aren't included.

So in total there are (4 + 6 + 2 + 2) = 14 male students.

Only 2 of the males are juniors, so the probability of picking a student that is a junior given they are a male, is 2/14, or 1/7

Calculating this we get approximately: $0.1429$ which is 14.29%, rounding this to the nearest whole percent, gives us $14\%$