Question
David and Peter independently choose at random a number from 1, 2, 3, with each possibility equally likely. Let X be the larger of the
David and Peter independently choose at random a number from 1, 2, 3, with each possibility equally likely. Let X be the larger of the two numbers, and let Y be the smaller.
a. Determine p(x, y).
b. Determine pX(x), x =1, 2, 3.
c. Determine pY|X(y|x).
d. Determine E(Y|X= x). Is this a linear function of x?
e. Determine V(Y|X = x)
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Seeing Through Statistics
Authors: Jessica M.Utts
4th Edition
1285050886, 978-1305176249, 1305176243, 978-1305322394, 978-1285050881
