statistics - Random variable and trying to find $E(N)$ - Mathematics

is the proportion of successful trials then the

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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 Thus . . 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. edited 1 h our a go a nsw ered 1 h our a go André Nicola s 145k 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 13 116 259 2/2...
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This document was uploaded on 02/23/2014 for the course CS 214 at Rutgers.

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