Question: #2 Make up a Binomial (Bernoulli) Experiment so that the probability of getting 7 successes is \(\left( \begin{matrix}

12 \\

7 \\

\end{matrix} \right){{\left( \frac{1}{4} \right)}^{4}}\times {{\left( \frac{3}{4} \right)}^{5}}\). Write it up as if you were the professor writing an exam question (a word problem). the answer to which is that probability. Let X be the random variable associated with this experiment, find the expected value of X and explain what that means in the context of your experiment.