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Unformatted text preview: Given B = (exactly) three successes have occurred in the rst four trials, what is the conditional probability of A ? (iii) (3 pts.) Determine P [ B | A ], expressing your answer as a ratio of two integers. (iv) (2 pts.) Show that the same result is obtained in (iii) above for any value p other than 0 or 1. Why is this so? (v) (4 pts.) By direct computation (using your calculator or MATLAB), determine the smallest value of n such that the probability of six or more successes in n trials exceeds 95%. (vi) (2 pts.) What is the probability of C = rst success occurs in the fth trial? (vii) (4 pts.) What is the probability of D = rst success occurs in (one of) the rst ve trials, and the second success occurs in (one of) the next ve trials?...
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This note was uploaded on 03/21/2010 for the course ENEE 324 taught by Professor Ephrimedes during the Fall '05 term at Maryland.
- Fall '05