Solution

Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 29 / 4 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 29 / 4 / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2003 / iii / Paper 33 / 2 / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 28 / 5 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 28 / 5 / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 28 / 5 / c / Solution

Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 28 / 6 / b / Solution

Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 28 / 6 / c / Solution

Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 30 / 3 / d / Solution

Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 33 / 4 / Solution

{title2=$\varphi_X(t)$}
{wiki=Characteristic_function_(probability_theory)}

The characteristic function of a real <random variable> $X$ is
$$
\varphi_X(t)=\mathbb E[e^{itX}].
$$
It determines the <probability distribution> of $X$.

Characteristic function

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 Incoming links: Characteristic function