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Continuous random variables and the normal distribution — Question 189

Original QCE Vault practice · 5 marks

Q189 · Practice questionTechnology-freeComplex familiar5 marks

QUESTION 189 (5 marks)

The cumulative distribution function of a continuous random variable XX is F(x)=0F(x)=0 for x<0x<0, F(x)=x2/9F(x)=x^2/9 for 0≤x≤30\le x\le3, and F(x)=1F(x)=1 for x>3x>3. Determine the probability density function of XX, E(X)E(X) and P(X>2)P(X>2).
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