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Miklós Schweitzer
1961 Miklós Schweitzer
9
9
Part of
1961 Miklós Schweitzer
Problems
(1)
Miklós Schweitzer 1961- Problem 9
Source:
12/1/2015
9. Spin a regular coin repeatedly until the heads and tails turned up both reach the number
k
k
k
(
k
=
1
,
2
,
…
k= 1, 2, \dots
k
=
1
,
2
,
…
); denote by
v
k
v_k
v
k
the number of the necessary throws. Find the distribution of the random variable
v
k
v_k
v
k
and the limit-distribution of the random variable
v
k
−
2
k
2
k
\frac {v_k -2k}{\sqrt {2k}}
2
k
v
k
−
2
k
as
k
→
∞
k \to \infty
k
→
∞
. (P. 10)
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