Students received grades with or - (example B ). Of all students who received one or more plus grades, 92% were undergraduates a
nd 8% were graduates. Of all students who received one or more minus grades, 93% were undergraduates and 7% were graduates. Find the probability that a student is an undergraduate student, given that the student received a plus grade.
1 answer:
Answer:
The probability that a student is an undergraduate student, given that the student received a plus grade is 0.92
Step-by-step explanation:
The conditional probability of an event <em>B</em> given that another event <em>A</em> has already occurred is:
Denote the events as follows:
<em>X</em> = a students is a graduate
<em>Y </em>= a students is a under-graduate
+ = a student received one or more plus grades
- = a student received one or more minus grades
Consider the tree diagram below.
According to the tree diagram, the probability that a student is an undergraduate student, given that the student received a plus grade is:
P (+ | Y) = 0.92
Thus, the probability that a student is an undergraduate student, given that the student received a plus grade is 0.92.
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