Question

Two black chips and three red chips are put into a bag. two points are awarded for each black chip drawn, and one point is lost for each red chip drawn. what is the expected value for each round if there are two draws per round and the chips are replaced after each draw? –0.08 –0.04 0.2 0.4

Answer 1

The expected value for every round when there are two draws per round and the chips are replaced after each draw is 0.4.

How to find the mean expectation of a random variable?

Supposing that the considered random variable is discrete, we get:

$Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i$

Here,  $x_i; \: \: i = 1,2, ... ,n$ is its n data values

and   $f(x_i)$ is the probability of    $X = x_i$

Two black chips and three red chips are put into a bag. Two points are awarded for each black chip drawn, and one point is lost for each red chip drawn.

There are total 5 chips (2 black 3 red),

$\rm 5\;Chips=2B,3R$

The chips are replaced after each draw. Thus, the expected value,

$E=2\left(\dfrac{2}{5}\times2-\dfrac{3}{5}\times1\right)\\E=\dfrac{2}{5}\\E=0.4$

The expected value for every round when there are two draws per round and the chips are replaced after each draw is 0.4.

Learn more about expectation of a random variable here:

https://brainly.com/question/4515179

Answer 2

Answer: It's D or 0.4

Step-by-step explanation: I got it right on Edge 2022. So easy