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Continuous random variables and the normal distribution — Question 215

Original QCE Vault practice · 4 marks

Q215 · Practice questionTechnology-freeComplex familiar4 marks

QUESTION 215 (4 marks)

A continuous random variable XX has density f(x)=kx(4−x)f(x)=k x(4-x) for 0≤x≤40\le x\le 4 and 00 otherwise.
Original diagram for Mathematical Methods Paper 1 question 15
a)
Find kk.
[2 marks]
b)
Find P(X>2)P(X>2).
[2 marks]
Question linkSyllabus coverage

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