Question 1 : Suppose that we toss 5 fair coins and re-toss all the ones that come up tails. Let X be the number of of coins that come up heads on the first toss and Y be the number of re-tossed coins that come up heads on the second toss. a) Determine the joint distribution of X and Y. Find E(X+Y). b) Find a formula for E(YX).
Question 1 : Suppose that we toss 5 fair coins and re-toss all the ones that come up tails. Let X be the number of of coins that come up heads on the first toss and Y be the number of re-tossed coins that come up heads on the second toss. a) Determine the joint distribution of X and Y. Find E(X+Y). b) Find a formula for E(YX).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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