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In a course, there are 2 exams consisting of 1 quiz and 1 final. In calculation...

In a course, there are 2 exams consisting of 1 quiz and 1 final. In calculation of overall grades, 50 percent of quiz and final grades are taken. The grades of the quiz and the final are independent and normally distributed with means of 60 and 40, and with standard deviations of 18 and 24, respectively.


a) What is the probability a randomly selected student will get an overall grade that is larger than 80?


b) If the instructor wants 84.13 percent of students passing the course, what should be the value of passing grade (minimum overall grade which a student should score to pass the course)?.

Math   Statistics-And-Probability   
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Answer #1

To calculate the required probability we will use standard normal variate

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