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rewona [7]
3 years ago
13

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.

Mathematics
1 answer:
MrMuchimi3 years ago
8 0

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:

P(B|A)=\frac{P(A\cap B)}{P(A)}

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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