Suppose x has a distribution with a mean of $40$ and a standard deviation of $20.$ Random samples of size

n $=64$

are drawn.

A button hyperlink to the SALT program that reads: Use SALT.

$($a$)$

Describe the x distribution and compute the mean and standard deviation of the distribution.

x has

an approximately normal

Correct: Your answer is correct.

distribution with

mean $$x $=$

$40$

Correct: Your answer is correct.

and

standard deviation $$x $=$

Incorrect: Your answer is incorrect.

$.$

$($b$)$

Find the z value corresponding to

x $=35.$

z $=$

Incorrect: Your answer is incorrect.

$($c$)$

Find

P$($x $<35).$

$($Round your answer to four decimal places.$)$

P$($x $<35)=$

Incorrect: Your answer is incorrect.

$($d$)$