There are 4 yellow marbles, 3 red marbles, and 1 blue marble in a bag. If I were to draw a marble out of the bag 32 times, how many times would I get red?

The expected number of times a red marble will be selected is 12.

Step-by-step explanation:

The number of marbles in a bag are:

Yellow = 4

    Red = 3

   Blue = 1    

  Total = 8

Le the random variable X be defined as the number of red marble selected.

The probability of selecting a red marble is:

A marble is selected from the bag n = 32 times.

The color of the marble selected at the nth draw is independent of the previous draw.

The success is defined as selecting a red marble.

The random variable X thus follows a Binomial distribution with parameters n = 32 and p = .

The expected value of a Binomial random variable is:

Compute the expected number of times a red marble will be selected in 32 draws as follows:

Thus, the expected number of times a red marble will be selected is 12.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

the k side

step-by-step explanation:

plese mark mde brainliest!