SOLVED: Text: Question 3(a)The continuous random variable X has a distribution function, F, given byF(x) = k(6x - x^2) if x 2where k is a constant.Find the value of k. (2 marks)Calculate the upper quartile of X. (3 marks)(iii) Find the probability density function of X for 0 < x < 2. (2 marks)(6)Twelve percent of the engines manufactured are defective. If engines are randomly selected, calculate the probability that the first non-defective engine will be found on the fourth engine. (2 marks)Cal
SOLVED: Text: Question 3(a)The continuous random variable X ha…
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