Experience has shown that a grade in MAT 2371 is normally distributed with mean 66 and variance 64 and that a grade in MAT 2377 is normally distributed with mean 64 and variance 36. Suppose independence between the grades. Find the probability that the class average in MAT 2371 will be higher than that in MAT 2377 if there are 100 students in each of the courses. (No students are taking both courses.) 0.0228 0.9207 O 0.5793 0.4207 0.9772

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Experience has shown that a grade in MAT 2371 is normally distributed with mean
66 and variance 64 and that a grade in MAT 2377 is normally distributed with mean
64 and variance 36. Suppose independence between the grades. Find the
probability that the class average in MAT 2371 will be higher than that in MAT 2377
if there are 100 students in each of the courses. (No students are taking both
courses.)
0.0228
0.9207
0.5793
0.4207
0.9772
Transcribed Image Text:Experience has shown that a grade in MAT 2371 is normally distributed with mean 66 and variance 64 and that a grade in MAT 2377 is normally distributed with mean 64 and variance 36. Suppose independence between the grades. Find the probability that the class average in MAT 2371 will be higher than that in MAT 2377 if there are 100 students in each of the courses. (No students are taking both courses.) 0.0228 0.9207 0.5793 0.4207 0.9772
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