Hello, JJC85!

Quote:

$\displaystyle \begin{array}{c||c|c||c|}

& \text{Men} & \text{Women} & \text{Total} \\ \hline\hline

\text{Domestic} & 52 & 290 & 342 \\

\text{Acquaintance} & 445 & 321 & 766 \\

\text{Stranger} & 581 & 167 & 748 \\

\text{Mugging} & 247 & 145 & 392 \\ \hline

\text{Total} & 1325 & 923 & 2248

\end{array}$

Probability

i. Domestic = $\displaystyle \frac{342}{2248} \:\approx\:15\%\quad\text{is this correct?}$ . Yes

ii. Stranger and victim was a woman = $\displaystyle \frac{167}{923} \:\approx\:18\%\quad\text{(is this correct?)}$ . No

$\displaystyle P(\text{stranger }\wedge\text{ woman}) \:=\:\frac{167}{2248} \:\approx\:7\%$

Quote:

iii. Mugging, given that the victim was a man = $\displaystyle \frac{247}{1325} \:\approx\:19\%\;\;\text{(is this correct?)}$ .Yes

iv. Against a woman or carried out by a stranger

"Against a woman *or* carried out by a stranger": .$\displaystyle 923 + 581 \,=\,1504$

$\displaystyle \text{Prob. } \:=\:\frac{1504}{2248} \:\approx\:67\%$

Quote:

v. Against a man, given that it was domestic

$\displaystyle \text{Prob.} \:=\:\frac{52}{342} \:\approx\:15\%$

Quote:

vi. Are the events Domestic and Man independent? . No