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(a) 1 (8-5), = е 0, The probability density function of X, the lifetime of a certain electronic device (measured in hours) is given by: 1 7 if x > 5 f(x) = 10 = otherwise i. Find the probability of such device to function more than 10 hours. [4 marks] ii. Find the mean lifetime of such device. 4 marks) iii. Find the variance of the lifetime of such device. [4 marks] Find the probability that at least 2 out of 6 such devices will function for more than 10 hours. Write your answers correct to 3 decimal places. [4 marks] iv.