# Q11 - t minutes What are the implications of this result 2 Prove that the function f x = 1 4 3 4 x x = 0 1 2 constitutes a prob-ability mass

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EXERCISES IN STATISTICS Exercise M01 1. The probability density function governing the minutes of time t spent waiting outside a telephone box is given by f ( t ) = ae at . (a) Determine the probability of having to wait for more than t minutes. (b) Show that the probability of having to wait more than 2 t minutes, given that you have waited for t , is the same as the unconditional probability of having to wait more than
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Unformatted text preview: t minutes. What are the implications of this result? 2. Prove that the function f ( x ) = 1 4 ( 3 4 ) x ; x = 0 , 1 , 2 , . . . , constitutes a prob-ability mass function. What is the probability that x will assume any integer value from 0 to 3. Find the value of n such that P ( x < n ) = 0 . 9 approximately. 1...
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## This note was uploaded on 03/02/2012 for the course EC 2019 taught by Professor D.s.g.pollock during the Spring '12 term at Queen Mary, University of London.

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