Giving a test to a group of students, the grades and gender are summar

akutagawatj

akutagawatj

Answered question

2021-11-18

Giving a test to a group of students, the grades and gender are summarized below
ABCTotalMale7161942Female1031831Total17193773
If one student is chosen at random,
Find the probability that the student got a C:
Find the probability that the student was male AND got a "C":
Find the probability that the student was male OR got an "A":
If one student is chosen at random, find the probability that the student got a C GIVEN they are male:

Answer & Explanation

Florence Evans

Florence Evans

Beginner2021-11-19Added 16 answers

Step 1
Determine the probability that student got a C using the formula
P=Number of students who got CTotal number of students
P=3773
=0.506
Determine the probability that the student was male AND got a "C".
P=1942
=0452
Step 2
Determine the probability that the student was male.
P(male)=4273
=0.5753
Determine the probability that student got an "A".
P(A)=1773
=0.232
Determine the that the student was male OR got an "A" by substituting values in the formula
P=P(male)×P(A)
=0.5753×0.232
=0.1339
Determine the probability that student got a C if they are male.
P=1942
=0.452

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