For problems 1 and 2, the list shows the results of a study on the use...

For problems 1 and 2, the list shows the results of a study on the use of plus/minus grading at North Carolina State University. It shows the percents of graduate and undergraduate students who received grades with pluses and minuses (for example, C+, A-, etc.)

-Of all students who received one or more plus grades, 92% were undergraduates and 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.
Find the probability that a student is a graduate student, given that the student received a minus grade.

Solutions

Expert Solution

	Undergraduate	Graduate
Plus grade	92%	8%
Minus grade	93%	7%

Let , A be the event that the student is an undergraduate student and B be the event that the student received a plus grade.

Let , be the event that the student is an undergraduate student and the student received a plus grade.

Now , P(A)=0.92 , P(B)=0.92+0.08=1.00 , = 0.92

Now , By using the definition of conditional probability,

Therefore , the probability that a student is an undergraduate student, given that the student received a plus grade is 0.92

2 )

Let , A be the event that the student is graduate student and B be the event that the student received a minus grade.

Let , be the event that the student is graduate student and the student received a minus grade.

Now , P(A)=0.0.07 , P(B)=0.93+0.07=1.00 , = 0.07

Now , By using the definition of conditional probability,

Therefore , the probability that a student is graduate student, given that the student received a minus grade is 0.07

orchestra answered 1 year ago

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