Here is the question please solve correctly thanks

Suppose an investor is considering funding $5$ different startup projects. Based on her research and past experience, she estimates that each project has a $30\%$ chance of being successful $($i$.$e$.,$ yielding a significant return on investment$).$ The investor has hired you to help her with some calculations. Here are the tasks she gives you during your first week.

$($a$)$ Calculate the probability that exactly $2$ out of these $5$ projects will be successful.

$($b$)$ Calculate the probability that $3$ or fewer projects will be successful.

$($c$)$ Calculate the probability that at least $4$ projects will be successful.

$($d$)$ Let $x$ be a random variable representing the number of successful projects, graph the PMF of $x.$

$($e$)$ Graph the CDF of X$.$