A random sample of $n=49$ observations is drawn from a population with a mean equal to $23$ and a standard

deviation equal to $14.$ Complete parts a through $e.$

a$.$ Find the probability that $\stackrel{}{x}$ is less than $21.$

The probability that $\stackrel{}{x}$ is less than $21$ is $0\mathrm{.}1587.$

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

b$.$ Find the probability that $\stackrel{}{x}$ is greater than $26.$

The probability that $\stackrel{}{x}$ is greater than $26$ is $0\mathrm{.}0668.$

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

c$.$ Find the probability that $\stackrel{}{x}$ is greater than $28.$

The probability that $\stackrel{}{x}$ is greater than $28$ is

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