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Giving a test to a group of students, the grades and gender are summarized below ABCTotalMale11181039Female1412430Total25301469If one student is chosen at random, find the probability that the student was female GIVEN they got a 'C'. Round your answer to at least 3 decimal places____. A test was given to a group of students. The grades and gender are summarized below. ABCTotalMale1881137Female341219Total21122356If one student is chosen at random from those who took the test, find the probability that the student was female GIVEN they got a 'C'. Round to at least 3 decimal places.____.

Giving a test to a group of students, the grades and gender are summarized below ABCTotalMale-example-1

1 Answer

7 votes

Answer:

1. 0.286

2. 0.522

Step-by-step explanation:

First question:

Taking into account the table, 14 students got a C, and 4 of them were female. So, the probability that the student was female given that they got a 'C' is equal to

P = 4/14 = 0.286

Second question:

In this table, 23 students got a 'C', and from the 23, 12 were females. So, the probability that the student was female given that they got a 'C' is equal to

I P = 12/23 = 0.522

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