Abag contains red and blue marbles, such that the probability of drawing a blue marble is 3 over 8. an experiment consists of drawing a marble, replacing it, and drawing another marble. the two draws are independent. a random variable assigns the number of blue marbles to each outcome. calculate the expected value of the random variable. a. 3 over 4 b. 1 over 3 c. 3 over 8 d. 2 over 3

a. 3/4

Step-by-step explanation:

The expected value is the sum of each outcome times its probability.

If n is the total number of marbles, then the expected value is:

E = (3/8) (n) + (3/8) (n)

E = 3/4 n

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

$3,200 x 7.25% = $3,200 x .0725 = $232 interest monthly

$232 monthly x 12 annual = $2, 784

step-by-step explanation: