Find the expected value of the random variable with the following probability distribution x: 2,3,4,5,6,7,8,9,10,11,12
P: 1/36,1/18,1/12,1/9,5/36,1/9,1/12,1/ 18,1/36

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18

answer: the answer is one

step-by-step explanation:

pemdas, in this situation there is no parenthesis or exponents so you go to multiplication, 1x1=1, then division 1/1= 1 then addition 1+1=2 then subtraction 2-1=1