Let the random variable $x$ follow a normal distribution with $=60$ and ${}^2=81.$

a$.$ Find the probability that $x$ is greater than $70.$

b$.$ Find the probability that $x$ is greater than $45$ and less than $75.$

c$.$ Find the probability that $x$ is less than $65.$

d$.$ The probability is $0\mathrm{.}3$ that $x$ is greater than what number?

e$.$ The probability is $0\mathrm{.}03$ that $x$ is in the symmetric interval about the mean between which two numbers?

Click the icon to view the standard normal table of the cumulative distribution function.

a$.$ The probability that $x$ is greater than $70$ is $0\mathrm{.}1335.$

$($Round to four decimal places as needed.$)$

b$.$ The probability that $x$ is greater than $45$ and less than $75$ is $0\mathrm{.}905.$

$($Round to four decimal places as needed.$)$

c$.$ The probability that $x$ is less than $65$ is $0\mathrm{.}7123.$

$($Round to four decimal places as needed.$)$

d$.$ The probability is $0\mathrm{.}3$ that $x$ is greater than

$($Round to one decimal place as needed.$)$