A public opinion poll surveyed a sample of 1000 voters. The table below shows the number of males an

Question

A public opinion poll surveyed a sample of 1000 voters. The table below shows the number of males and females supporting Party A, Party B and Party C.

	Party A	Party B	Party C
Male	$200$	$130$	$70$
Female	$250$	$300$	$50$

One of the voters is chosen at random. Events $A$, $C$ and $M$ are defined as follows:
$A$: The voter chosen supports Party A.
$C$: The voter chosen supports Party C.
$M$: The voter chosen is a male.
Find

$\mathrm{P}\left( A|M \right)$,
$\mathrm{P}\left( M'\cap C' \right)$.

Determine whether $A$ and $M$ are independent.

Accepted Answer

(a)(i) $\frac12$ (a)(ii) $\frac{11}{20}$ (b) Not independent

	Party A	Party B	Party C
Male	\(200\)	\(130\)	\(70\)
Female	\(250\)	\(300\)	\(50\)

2010 HCI P2 Q10

2010 HCI P2 Q10

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