Question 1

Paper 1, no calculatorMedium6 marks

The graph in Figure 1 shows the probability density function, ff of a continuous random variable XX

1200.51xf(x)
(a)

Write down f(x)f(x) as a piecewise function.

[2]
(b)

Determine E(X)E(X)

[2]
(c)

Hence determine Var⁡(X)\operatorname{Var}(X)

[2]

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