Question

A test was given to a group of students. the grades and gender are summarized below abctotal male5121936 female3141734 total8263670 if one student is chosen at random from those who took the test, find the probability that the student was male given they got a 'c'. round answer 4 places after the decimal if needed.

Answer 1

The probability that a student was male given they got a 'C' is 0.7308 when rounded to four decimal places.

Step-by-step explanation:

To find the probability that a student was male given they got a 'C', we must use the formula for conditional probability, which is P(A|B) = P(A ∩ B) / P(B). Here, A is the event that a student is male, and B is the event that a student got a 'C'. Our given data states that there are 19 males who got a 'C' and a total of 26 students who got a 'C'. Therefore, the probability that a student was male given they got a 'C' is 19/26.

Let's compute the probability:

P(male given C) = Number of males with a C / Total number of students with a C = 19 / 26 = 0.73076923077

Rounded to four decimal places, the probability is 0.7308.