Executive of a certain firm talks on the telephone

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The amount of time (in minutes) that an executive of a certain firm talks on the telephone is a random variable having the probability density

With reference to part (b) of Exercise 60, find the expected length of one of these telephone conversations that has lasted at least 1 minute.

Exercise 60

(a) Show that the conditional distribution function of the continuous random variable X, given a ? b, is given by

(b) Differentiate the result of part (a) with respect to x to find the conditional probability density of X given a ? b, and show that

Reference no: EM131129280

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