Let X = the score out of 3 points on a randomly selected pop quiz in a statistics class. The table gives the probability distribution of X. Value 0123 Probability 0.11 0.25 0.39 0.25
Calculate and interpret the expected value of X.
a. The average score will be about 1.78.
b. It a test is randomly selected, the average score will be about 1.78.
c. If many, many tests are randomly selected, their average score will be about 1.78.
d. None of these is correct.

you probably already have the answer but anyways it's b. 15.0

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

can you put the picture up?

step-by-step explanation: