Given a normal distribution with $=50$ and $=4,$ and given you select a sample of $n=100,$ complete parts $($a$)$ through $($d$).$

a$.$ What is the probability that $\stackrel{}{x}$ is less than $49?$

$($Type an integer or decimal rounded to four decimal places as needed.$)$

b$.$ What is the probability that $\stackrel{}{x}$ is between $49$ and $49\mathrm{.}5?$

$($Type an integer or decimal rounded to four decimal places as needed.$)$

c$.$ What is the probability that $\stackrel{}{x}$ is above $50\mathrm{.}5?$

$P(\stackrel{}{x}>50\mathrm{.}5)=$

$($Type an integer or decimal rounded to four decimal places as needed.$)$

d$.$ There is a $35\%$ chance that $\stackrel{}{x}$ is above what value?

$\stackrel{}{x}=$

$($Type an integer or decimal rounded to two decimal places as needed.$)$