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# . Regina wanted an increase in her weekly.....

## Tags: Mathematik

21:05 Uhr, 10.05.2022

Tag!
I would need some tips to solve this problem.

Regina wanted an increase in her weekly allowance from $5 to$10, but her parents did her one better. Instead, Regina rolls a fair, six-sided die every week, and her allowance for that week will be the number she rolls multiplied by 2. What expression could we write for Regina’s weekly allowance? Define your variable and list what types of numbers the variable can be.

let the number she rolls be $n\phantom{\rule{0.12em}{0ex}}$ times 2

$n\phantom{\rule{0.12em}{0ex}}\left(2\right)$
but I feel something is missing here.
thanks for any help

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22:10 Uhr, 10.05.2022

Hello,

the outcomes of the die are unifomrly distributed with $p\phantom{\rule{0.12em}{0ex}}=\frac{1}{6}$. Thus the pmf for her weekly allowance is

${f\phantom{\rule{0.12em}{0ex}}}_{X\phantom{\rule{0.12em}{0ex}}}\left(x\phantom{\rule{0.12em}{0ex}}\right)=\left\{\phantom{\rule{0.167em}{0ex}}\begin{array}{}\frac{1}{6},x\phantom{\rule{0.12em}{0ex}}\in \left\{2,4,6,8,10,12\right\}\\ 0,\text{elsewhere}\\ \end{array}\phantom{\rule{0.167em}{0ex}}$

greeting,
pivot
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