The continuous random variable T denotes the time in hours that employees devote on overtime. The cumulative distribution function of T is (a) (b) (c) (d) (e) Show that m= 16 27 0, t<0, m (213-14), 0≤t≤ 1.5, 1, t> 1.5. Find E(T). F(t) = m Find the proportion of employees who devote more than 1 hour on overtime. Find the probability density function f(t) of T. 11 An employee is chosen at random. Calculate the probability that the employee devoted more than 1 hour on overtime, given that the employee devoted more than the mean amount of time on overtime.

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