The following table shows the probability of rolling the numbers 1 through 7
on a fair 7-sided die.
2 3 4 5 6 7
P(X) 1/71/71/7 17 177 177 1/7
What is the standard deviation of the random variable X, "the number that
comes up on the die"?
O A. 2.0
O B. 2.917
O C. 3.745
O D. 3.5
O
E. 1.708
PLA ANSWER

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

simplified/solved

anwser:

-80x^2+158x+158