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Unformatted text preview: proportion of successful trials. Then . The probability that
. is the probability of heads, which is . So . ma th.sta c ke xc ha nge .c om/que stions/343975/r a ndom- va r ia ble - a nd- tr ying- to- f ind- e n 1/2 3/27/13 sta tistic s - Ra ndom va r ia ble a nd tr ying to f ind $E( N) $ - Ma the ma tic s N ote that
. Remark: The answer is intuitively clear. Actually, the number of successes in trials has
bino mial distributio n with " ", the probability of success, equal to
. The proportion of
successes should have expected value . We introduced the random variable machinery
because it will be long run useful.
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This document was uploaded on 02/23/2014 for the course CS 214 at Rutgers.
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