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please help ne answer this QUESTION 3 a) The queuing time, X minutes. of a customer at a supermarket has probability density function of a

please help ne answer this

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QUESTION 3 a) The queuing time, X minutes. of a customer at a supermarket has probability density function of a continuous random variable and is given by 3 x(kx), 0 $151: _ 32 x) ' 0. otherwise i. Show that the value of k is 4. (3 marks] ii. Calculate the mean of queuing time in minutes. (2 marks) iii. Find the standard deviation of queuing time in minutes

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