3. Let X and Y be a student's quantitative scores on the SATs and GREs respectively. Suppose that the joint distribution of (X, Y) is well approximated with the bivariate normal distribution. Further, it is known that µx = 560, o = 6, 400, µy = 640, o} = 3, 136, and p = .68. Find (a) P(Y> 700) (b) P(Y > 700|X = 600)
3. Let X and Y be a student's quantitative scores on the SATs and GREs respectively. Suppose that the joint distribution of (X, Y) is well approximated with the bivariate normal distribution. Further, it is known that µx = 560, o = 6, 400, µy = 640, o} = 3, 136, and p = .68. Find (a) P(Y> 700) (b) P(Y > 700|X = 600)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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Transcribed Image Text:3. Let X and Y be a student's quantitative scores on the SATs and GREs respectively. Suppose
that the joint distribution of (X, Y) is well approximated with the bivariate normal distribution.
Further, it is known that x = 560, o = 6, 400, µy = 640, o = 3, 136, and p = .68. Find
HY
(a) P(Y > 700)
(b) P(Y > 700|X = 600)
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