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Year 12 Maths Advanced (2027) Random variables

Continuous Random Variables (PDF & CDF)

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Question 1
188772
A function \(f(x)\) is a probability density function (PDF) on \([a,b]\) provided:
A.
\(f(x)\ge 0\) and \(\int_a^b f(x)\ dx=1\)
B.
\(f(x)\le 1\) only
C.
\(\int_a^b f(x)\ dx=0\)
D.
\(f(x)=1\) throughout
\(f(x)\ge 0\) and \(\int_a^b f(x)\ dx=1\)

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