Assume that you assign the following subjective probabilities for your final grade in your econometrics course (the standard GPA scale of 4-A to 0-F applies): Probability 0.20 0.50 0.20 0.08 0.02 Grade The expected value is. A. 3.5 B. 3.25. C. 2.78.D. 3.0

So then the best answer for this case would be:

C. 2.78

Step-by-step explanation:

For this case we have the following probabability distribution function given:

Score         P(X)

A= 4.0       0.2

B= 3.0       0.5

C= 2.0       0.2

D= 1.0        0.08

F= 0.0       0.02

______________

Total          1.00

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

If we use the definition of expected value given by:

And if we replace the values that we have we got:

So then the best answer for this case would be:

C. 2.78

..

step-by-step explanation:

answer: 457.14

step-by-step explanation:

205 - 45 = 160

160 / .35 = 457.142857