Suppose X is a normal random variable with mean 20 and standard deviation 4. A really bored mathematician observes the value for X and uses it

to construct a cube of dimensions lXl lXl lXl.

(a) Find the expected surface area of the cube.

(b) Find the expected volume of the cube.

(c) Using computational software, approximate the probability that the volume is more than 5 times greater than the area.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

i would love   to but there is no graph shown

step-by-step explanation:

i am so sorry

=

x=0.8898305 is the answer to that equation