- Find: E[Y|X=170] E[Y]X=200] Var [ Y|X = 170]

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Problem 4
Let X and Y denote the heart rate (in beats per minute) and average power output (in watts)
for a 10 minute cycling time trial performed by a professional cyclist. Assume that X and Y
have a bivariate normal distribution with parameters ux = 180, ox = 10, µy =400,6y =50,and
p=0.9. Find:
i.
E[Y|X = 170]
ii.
E[Y}X=200]
Var [ Y |X = 170]
Var [ Y | X = 200]
iii.
iv.
P(Y < 380|X = 170)
V.
vi.
P(Y 2450|X=200).
Transcribed Image Text:Problem 4 Let X and Y denote the heart rate (in beats per minute) and average power output (in watts) for a 10 minute cycling time trial performed by a professional cyclist. Assume that X and Y have a bivariate normal distribution with parameters ux = 180, ox = 10, µy =400,6y =50,and p=0.9. Find: i. E[Y|X = 170] ii. E[Y}X=200] Var [ Y |X = 170] Var [ Y | X = 200] iii. iv. P(Y < 380|X = 170) V. vi. P(Y 2450|X=200).
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