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. Jack is taking MAT 2371 and Jill is taking MAT 2377. Let X denote Jack's grade and let Y denote Jill's grade. Find a constant c so that (X – 66)² (Y – 64)2 + = 0.9 64 36 O 2.706 1.282 0.103 4.605 O 1.645

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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.
Jack is taking MAT 2371 and Jill is taking MAT 2377. Let
X denote Jack's grade and let Y denote Jill's grade.
Find a constant c so that
(Y – 64)²
+
sc)-
(X – 66)?
= 0.9
64
36
2.706
1.282
0.103
4.605
1.645
VI
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. Jack is taking MAT 2371 and Jill is taking MAT 2377. Let X denote Jack's grade and let Y denote Jill's grade. Find a constant c so that (Y – 64)² + sc)- (X – 66)? = 0.9 64 36 2.706 1.282 0.103 4.605 1.645 VI
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