Forty percent of the students who enroll in a statistics course go to the statistics laboratory 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. (Round your response to 4 decimal places).

0.8125 = 81.25% probability that she or he used the lab on a regular basis.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Student got an A

Event B: Went to the lab on a regular basis

Probability of a student getting an A:

65% of 40%(go to the lab on a regular basis).

10% of 100 - 40 = 60%(don't go to the lab on a regular basis).

So

Probability of getting an A and going to the lab on a regular basis:

65% of 40%. So

Determine the probability that she or he used the lab on a regular basis.

0.8125 = 81.25% probability that she or he used the lab on a regular basis.

each side has a different length.  

step-by-step explanation:

you can't solve x because it is 2 linear equation and you only have one equation