For this problem you must describe a random process with a 'success' and 'failure' outcome. For the remaining questions, you must contextualize the code provided to a question about your random process. Your answer to question a and the subsequent responses that build on it cannot use examples from lecture or homework.

Question a$)$ Describe a random process that produces a binary outcome of success or failure, being clear as to what constitutes a 'success'. In subsequent problems, the probability of success will be referred to as p$.$ You need not know the value of p for your example.

For the remaining prompts, provide a question for which the code would provide the necessary response. Your questions should relate to the original binary random process you described in question a$,$ and should be limited to one sentence.

Question b$)$

pbinom$(6,$ size$=27,$ prob$=$p$)$

Question c$)$

qbinom$(\mathrm{.}25,$ size$=56,$ prob$=$p$)$

Question d$)$

$1-$pgeom$(6,$ prob$=$p$)$

Question e$)$

dgeom$(11,$ prob$=$p$)$

Question f$)$

sum$($dnbinom$(0$:$6,$ size$=3,$ prob$=$p$))$

Question g$)$

choose$(24-1,6-1)*(1-$p$)^(24-6)*$p$^6$For this problem you must describe a random process with a 'success' and 'failure' outcome. For

the remaining questions, you must contextualize the code provided to a question about your

random process. Your answer to question a and the subsequent responses that build on it cannot

use examples from lecture or homework.

Question a$)$ Describe a random process that produces a binary outcome of success or failure,

being clear as to what constitutes a 'success'. In subsequent problems, the probability of success

will be referred to as $p.$ You need not know the value of $p$ for your example.

For the remaining prompts, provide a question for which the code would provide the necessary

response. Your questions should relate to the original binary random process you described in

question a$,$ and should be limited to one sentence.

Question b$)$

Question c$)$

qbinom$(\mathrm{.}25,$ size$=56,$ prob$=$p$)$

Question d$)$

$1-$pgeom $,$ prob $=p$

Question e$)$

dgeom $(11,$ prob$=$p$)$

Question $f)$

sum$($dnbinom$(0$:$6,$ size$=3,$ prob$=$p$))$

Question g$)$

choose $(24-1,6-1)*(1-p{)}^{{?}^{?}}(24-6)*p^6$