An American roulette wheel has 18 red, 18 black and 2 green slots. You bet $1 on red color. If the winning number is red, you win $1, and your original $1 is returned, if the winning number is not red, you lose your original $1. Use X to denote the NET gain you have each time you play the roulette.

Write down the distribution of X. What is the expected value of it? What is the variance of it?

answer: options?

step-by-step explanation:

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system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.

$320 to $405

step by step explanation:

in one day he earns between $64 and $81

therefore if he works for 5 days, he will earn between 64 x 5 to 81 x 5

= $320 to $405