SOLUTION: A survey has revealed that 75% of all college students study. It is also known that 85% of all students who study regularly will graduate, while only 35% of those students who do n

Algebra ->  Probability-and-statistics -> SOLUTION: A survey has revealed that 75% of all college students study. It is also known that 85% of all students who study regularly will graduate, while only 35% of those students who do n      Log On


   

Question 994981: A survey has revealed that 75% of all college students study. It is also known that 85% of all students who study regularly will graduate, while only 35% of those students who do not study regularly will graduate.
(i) If a student is randomly selected, what is the probability that he/she will graduate?
(ii) A randomly selected student is observed to graduate. What is the probability that this student studied regularly?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Make a table and use arbitrary number of 10000.
=======G =====NG ===Total
S==== 6375 ===1125===7500
NS====875====1625===2500
Total==7250====2750==10000
Probability random one will graduate is 7250/10000=0.725
Probability that one who graduated studied regularly is 6375/7250=0.879