(b) A contractor's financial outlay X and labour force Y are random variables with the joint probability density functio

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B A Contractor S Financial Outlay X And Labour Force Y Are Random Variables With The Joint Probability Density Functio 1 (29.89 KiB) Viewed 127 times

(b) A contractor's financial outlay X and labour force Y are random variables with the joint probability density function given by: f(x,y)= {kty Skxy 10* <x< 105 and 10 <y <20 otherwise (1) Evaluate constant k. (3 marks) (ii) Determine the marginal probability density functions of X and Y. (6 marks) (iii)Determine the probability density function of the contractor's profits W, g(w) if W=1.3 X+15,000. (6 marks) Hint: Consider the CDF of the random variable W, G(W) = P(W Sw) for (iii)