Suppose two (2) fair dice are tossed together. Let’s define a random variable X as the sum of the numbers that show on the two. What is the cummulative distribution function (CDF) of this random variable? Sketch the CDF of this random variable. What are the expected value E(X) and the variance V ar(X) of this random variable?

answer: a

step-by-step explanation:

well there are two answers for that.

1: you need 120 ones then that will equal up to 120.

2: you could also do one 100 and 2 tens.

those are the answers that i have thought of.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.