OCR S2 2006 June — Question 1

Exam BoardOCR
ModuleS2 (Statistics 2)
Year2006
SessionJune
TopicContinuous Probability Distributions and Random Variables
TypeDirect variance calculation from pdf

1 Calculate the variance of the continuous random variable with probability density function given by $$f ( x ) = \begin{cases} \frac { 3 } { 37 } x ^ { 2 } & 3 \leqslant x \leqslant 4
0 & \text { otherwise } \end{cases}$$