(New page: X is the number of heads in 100 flips of a coin. Each coin has Pr[H]=0.1 Find Pr[X >= 30] Markov equation: Pr[x >= a] < E[X]/a E[x] = 100*0.1 = 10 a = 30 Pr[x >= 30] < 10/30 = 1/3)
 
 
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=Question=
 
X is the number of heads in 100 flips of a coin.
 
X is the number of heads in 100 flips of a coin.
 
Each coin has Pr[H]=0.1
 
Each coin has Pr[H]=0.1
  
 
Find Pr[X >= 30]
 
Find Pr[X >= 30]
 
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=Answer=
 
Markov equation:  
 
Markov equation:  
 
Pr[x >= a] < E[X]/a
 
Pr[x >= a] < E[X]/a
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a = 30
 
a = 30
 
Pr[x >= 30] < 10/30 = 1/3
 
Pr[x >= 30] < 10/30 = 1/3
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Latest revision as of 13:33, 22 November 2011


Question

X is the number of heads in 100 flips of a coin. Each coin has Pr[H]=0.1

Find Pr[X >= 30]

Answer

Markov equation: Pr[x >= a] < E[X]/a

E[x] = 100*0.1 = 10 a = 30 Pr[x >= 30] < 10/30 = 1/3


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