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-1

$begingroup$

We are given 2 large numbers, s and a.

$$s=sum_{j=0}^{26} binom{119}{j}$$ and $$a=frac{2s}{2^n}$$

Since these 2 numbers are too big to handle we will use instead the Binomial(119,0.5) for random variable X as follows:

• find E[X] and Var(X)


• find suitable t (from the sum above) so that $P[|X-E[X]|geqq{t}]$ then use t to calculate this probability with Chebyshev's inequality. Finally, the upper bound from the inequality is a number M very close to a, specifically $aleqq{M}$.

inequality summation binomial-distribution

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asked Mar 14 at 12:29

EmKalEmKal

112

$endgroup$

add a comment | 

-1

$begingroup$

We are given 2 large numbers, s and a.

$$s=sum_{j=0}^{26} binom{119}{j}$$ and $$a=frac{2s}{2^n}$$

Since these 2 numbers are too big to handle we will use instead the Binomial(119,0.5) for random variable X as follows:

• find E[X] and Var(X)


• find suitable t (from the sum above) so that $P[|X-E[X]|geqq{t}]$ then use t to calculate this probability with Chebyshev's inequality. Finally, the upper bound from the inequality is a number M very close to a, specifically $aleqq{M}$.

inequality summation binomial-distribution

share|cite|improve this question

asked Mar 14 at 12:29

EmKalEmKal

112

$endgroup$

add a comment | 

$begingroup$

We are given 2 large numbers, s and a.

$$s=sum_{j=0}^{26} binom{119}{j}$$ and $$a=frac{2s}{2^n}$$

Since these 2 numbers are too big to handle we will use instead the Binomial(119,0.5) for random variable X as follows:

• find E[X] and Var(X)


• find suitable t (from the sum above) so that $P[|X-E[X]|geqq{t}]$ then use t to calculate this probability with Chebyshev's inequality. Finally, the upper bound from the inequality is a number M very close to a, specifically $aleqq{M}$.

inequality summation binomial-distribution

share|cite|improve this question

asked Mar 14 at 12:29

EmKalEmKal

112

$endgroup$

share|cite|improve this question

asked Mar 14 at 12:29

EmKalEmKal

112

share|cite|improve this question

asked Mar 14 at 12:29

EmKalEmKal

112

asked Mar 14 at 12:29

EmKalEmKal

112

asked Mar 14 at 12:29

EmKalEmKal

112