epeatedly. the first a 5 appears (that Is, a X-th throw of the dice). Let Y be the first time a 6 appears. Which = equal to E[X|Y = 3]? %3D eful the identity that for z E (0, 1), Σ k – 1 + 1- z 1 nz"- n=k || (1 – 2)? f the other options are correct.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A dice is being thrown repeatedly. Let X be the first time a 5 appears (that is, a 5
appears in the X-th throw of the dice). Let Y be the first time a 6 appears. Which of
the followings is equal to
E[X[Y = 3]?
You may find useful the identity that for z E (0, 1),
1
k – 1
> nz"-k
n=k
|
(1 – 2)2
1- z
O a. 2.79
O b. 6.28
c.
2.08
O d. 5.29
Ое.
2.07
f.
2.00
g. 7.96
O h. 6.77
O i.
None of the other options are correct.
Transcribed Image Text:A dice is being thrown repeatedly. Let X be the first time a 5 appears (that is, a 5 appears in the X-th throw of the dice). Let Y be the first time a 6 appears. Which of the followings is equal to E[X[Y = 3]? You may find useful the identity that for z E (0, 1), 1 k – 1 > nz"-k n=k | (1 – 2)2 1- z O a. 2.79 O b. 6.28 c. 2.08 O d. 5.29 Ое. 2.07 f. 2.00 g. 7.96 O h. 6.77 O i. None of the other options are correct.
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