Let's say you're running an online subscription$-$based service.

$$ Subscription fee is $$10$ per month per user and can be canceled any month any.

$$ Currently there are $10,000$ users.

$$ Monthly recurring revenue is Number of users $\backslash$times Subscription fee.

$$ The annual cost of maintaining the service is fixed at $$1$ million per year regardless of users. The monthly user growth rate $($can increase or decrease$)$ over the past $5$ years from $2016-2020$ is represented as the attached image.

You expect the next $12$ months to be similar to any of the previous $60$ months. Determine whether it is profitable to continue operating this service next year by using any Approximate Inference $-$ Monte Carlo methods, explain the results and using Python to visualize for $10,000$ samples.

P$.$s: I've code by using Python and have the chart like the image but I don't know whether my answer is correct or not. I have to submit my homework in $10\mathrm{.}5\mathrm{.}2024$ Probability of making a profit: $94\mathrm{.}49\%$

$\backslash$table$[[$Year$,$Jan,Feb,Mar,Apr,May,Jun,Jul,Aug,Sep,Oct,Nov,Dec$],[2016,-2\mathrm{.}0\%,3\mathrm{.}5\%,0\mathrm{.}5\%,2\mathrm{.}2\%,1\mathrm{.}9\%,2\mathrm{.}8\%,2\mathrm{.}2\%,0\mathrm{.}2\%,5\mathrm{.}0\%,3\mathrm{.}0\%,3\mathrm{.}6\%,-4\mathrm{.}6\%],[2017,-11\mathrm{.}4\%,4\mathrm{.}7\%,-3\mathrm{.}1\%,-3\mathrm{.}9\%,-4\mathrm{.}3\%,-1\mathrm{.}4\%,-4\mathrm{.}5\%,4\mathrm{.}4\%,7\mathrm{.}7\%,10\mathrm{.}3\%,2\mathrm{.}3\%,-1\mathrm{.}4\%],[2018,1\mathrm{.}3\%,-5\mathrm{.}8\%,5\mathrm{.}2\%,-8\mathrm{.}6\%,-4\mathrm{.}1\%,-1\mathrm{.}5\%,2\mathrm{.}4\%,-2\mathrm{.}7\%,-3\mathrm{.}3\%,-0\mathrm{.}6\%,6\mathrm{.}0\%,-3\mathrm{.}7\%],[2019,0\mathrm{.}0\%,1\mathrm{.}1\%,2\mathrm{.}8\%,0\mathrm{.}3\%,9\mathrm{.}6\%,-6\mathrm{.}7\%,1\mathrm{.}0\%,-1\mathrm{.}3\%,-4\mathrm{.}3\%,-3\mathrm{.}0\%,-1\mathrm{.}2\%,-8\mathrm{.}3\%],[2020,-7\mathrm{.}9\%,-0\mathrm{.}2\%,0\mathrm{.}9\%,1\mathrm{.}0\%,-4\mathrm{.}6\%,2\mathrm{.}0\%,-0\mathrm{.}9\%,7\mathrm{.}3\%,-4\mathrm{.}5\%,-7\mathrm{.}9\%,-4\mathrm{.}1\%,5\mathrm{.}6\%]]$