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Continuous random variables and the normal distribution — Question 98

Original QCE Vault practice · 5 marks

Q98 · Practice questionTechnology-activeComplex unfamiliar5 marks

QUESTION 98 (5 marks)

A continuous random variable has the triangular density shown, with f(x)=cxf(x)=cx for 0≤x≤20\le x\le2 and f(x)=c(4−x)f(x)=c(4-x) for 2<x≤42<x\le4. Determine cc and P(X<1.5∣X<3)P(X<1.5\mid X<3).
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