isn't there something wrong with the data ???

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- July 22nd 2009, 12:34 PM #1

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## Chebishev

1)

a dice is being rolled 360 times. the dice has 1 red side and 5 black. what is the upper bound to the probability of falling on a red side more than 41 times and less than 59 times ?

2)

X - counts how many times the dice was red, up to 36 times

Y - counts how many times the dice was red up to 50 times

find COV(X,Y)

thanks a million !

- July 22nd 2009, 09:14 PM #2

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- July 22nd 2009, 10:24 PM #3

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The mean number of reds on a single roll of a die is , the SD is:

In rolls the mean number of reds is and the standard deviation is

Now if the range for the number of reds were to this would now be a straight forward application of Chebyscev's inequality (or if the number of throws were rather than ).

I don't think that the 1-sided Chebyshev inequality will work here, so you may have a type.

CB