A manufacturing machine has a $50\%$ defect rate. If $126$ items are chosen at random, answer the following.

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

b$)$ Pick the correct symbol: $=126$

c$)$ Pick the correct symbol: $=0\mathrm{.}5$

d$)$ What is the probability that exactly $62$ of them are defective?

Round final answer to $4$ decimal places.

e$)$ What is the probability that less than $62$ of them are defective?

Round final answer to $4$ decimal places.

f$)$ What is the probability that more than $62$ of them are defective?

Round final answer to $4$ decimal places.

g$)$ What is the probability that exactly $66$ of them are defective?

Round final answer to $4$ decimal places.

h$)$ What is the probability that at least $66$ of them are defective?

Round final answer to $4$ decimal places.

i$)$ What is the probability that at most $66$ of them are defective

Round final answer to $4$ decimal places.