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9.1.2 Flip a biased coin 100 times. On each flip, P[H] = p. Let X; denote the number of heads that occur on flip i. What is Px33(x)? Are X₁ and X2 independent? Define Y = X₁ + X₂ + + X100. Describe Y in words. What is Py(y)? Find E[Y] and Var[Y].

9.1.2 Flip a biased coin 100 times. On each flip, P[H] = p. Let X; denote the number of heads that occur on flip i. What is Px33(x)? Are X₁ and X2 independent? Define Y = X₁ + X₂ + + X100. Describe Y in words. What is Py(y)? Find E[Y] and Var[Y].

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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9.1.2 Flip a biased coin 100 times. On each flip, P[H] = p. Let X; denote the number of heads that occur on flip i. What is Px₁3(x)? Are X₁ and X2 independent? Define Y = X1 + X2 + + X100. Describe Y in words. What is Py(y)? Find E[Y] and Var[Y].
Transcribed Image Text:9.1.2 Flip a biased coin 100 times. On each flip, P[H] = p. Let X; denote the number of heads that occur on flip i. What is Px₁3(x)? Are X₁ and X2 independent? Define Y = X1 + X2 + + X100. Describe Y in words. What is Py(y)? Find E[Y] and Var[Y].
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