(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] | ||
| − | + | =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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| + | [[Main_Page_ECE302Fall2008sanghavi|Back to ECE302 Fall 2008 Prof. Sanghavi]] | ||
Latest revision as of 12:33, 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
