A poll is given, showing $65\%$ are in favor of a new building project. If $121$ people are chosen at random, answer the following.

a$)$ Which is the correct wording for the random variable?

Iv $x=$ the number of $121$ randomly selected people that are in favor of a new building project $$

b$)$ Pick the correct symbol: $nV=121$

c$)$ Pick the correct symbol: $pvv=0\mathrm{.}65$

d$)$ What is the probability that exactly $74$ of them are in favor of a new building project?

Round final answer to $4$ decimal places.

e$)$ What is the probability that less than $74$ of them are in favor of a new building project?

Round final answer to $4$ decimal places.

f$)$ What is the probability that more than $74$ of them are in favor of a new building project?

Round final answer to $4$ decimal places.

g$)$ What is the probability that exactly $76$ of them are in favor of a new building project?

Round final answer to $4$ decimal places.

h$)$ What is the probability that at least $76$ of them are in favor of a new building project?

Round final answer to $4$ decimal places.

i$)$ What is the probability that at most $76$ of them are in favor of a new building project

Round final answer to $4$ decimal places.