In: Statistics and Probability
the students answered a survey and the following information was obtained.
•70% of students regularly attended the classes.
•85% of students who attended the classes passed
.•40% of students who didn’t attend the classes failed.
Alice, a random students from that class, has passed this course. What is the probability that she has attended the classes?
Let: A be the event that a student regular attend the
classees
Let: B be the event that a student passed.
We're given that students who regularly attended the classes
passed, i.e.,
From the above two probabilities we can find-
Here we're also given that, 40% of students who didn't attend
the class failed. i.e.,
From the above information we can find that,
Students who passed but didn't attend the class-
From the above information we can find-
Alice, a random students from that class, has passed this
course.
The probability that she has attended the classes-
Alice, a random students from that class, has passed this course. The probability that she had attended all the classes is- 0.7677
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