Q3(a): let x be a continuous random variable with probability density function f(x)=404xe x 0, 0...

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Q3(a): let x be a continuous random variable with probability density function f(x)=404x³e x ≥0, 0 >0 1- Find the moment generating function of X 2- Find the expected value of 3- By using the moment generating function find E(x) (b): If x-B(a, B) show that E (x) 04+1 FCH = a a+B 11 (10 marks) [b1] Q3(a): let x be a continuous random variable with probability density function f(x)=404x³e x ≥0, 0 >0 1- Find the moment generating function of X 2- Find the expected value of 3- By using the moment generating function find E(x) (b): If x-B(a, B) show that E (x) 04+1 FCH = a a+B 11 (10 marks) [b1]