SOLUTION: A standard certification test was given at three locations. 1,000 candidates took the test at location A, 600 candidates at location B, and 400 candidates at location C. The percen

Question 965147: A standard certification test was given at three locations. 1,000 candidates took the test at location A, 600 candidates at location B, and 400 candidates at location C. The percentages of candidates from locations A, B, and C who passed the test were 70%, 68%, and 77%, respectively. One candidate is selected at random from among those who took the test.
a) What is the probability that the selected candidate passed the test?
b) If the selected candidate passed the test, what is the probability that the candidate took the test at location B?
c) What is the probability that the selected candidate took the test at location C and failed?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
LOCATION----TOTAL---PASSED
---A-------------1000-------700(70% of 1000)
---B--------------600-------408(68% of 600)
---C--------------400-------308(77% of 400)
___________________________________
TOTAL:--------2000------1416---
.
A)The probability a random candidate passed is 1416/2000=177/250
B)The probability a passing candidate was from B is 408/1416=17/59
C)The probability of a failing candidate from C is 92/2000=23/500
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