Probability

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Forty percent of the students who enroll in a statistics course go to the lab on a regular basis. Past data indicates that 65% of those students who use the lab on a regular basis make a grade of A in the course. On the other hand, only 10% of students who do not go to the lab on a regular basis make a grade of A. If a particular student made an A, determine the probability that she or he used the lab on a regular basis.

Apr 4th, 2015

Assume there are 100 students in the stats course 
40 use lab regularly 
0.65*40 = 26 make a grade of A

60 don't use lab regularly 
0.1*60 = 6 make a grade of A

total students making a grade of A = 32
thus P[use lab regularly] 
= 26/32 = 0.81 or 81%

Apr 4th, 2015

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Apr 4th, 2015
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