Astudent's score on a 10-point quiz is equally likely to be any integer between 0 and 10. (a) what is the probability that the student will get a score of 9? (b) what is the probability of a b, which requires the student to get a score of 8 or more? (c) what is the probability the student gets an f by getting (strictly) less than 6? (d) what is the probability that the student gets a score (strictly) less than 10, but greater than or equal to 6?

Scores could be : 0,1,...10  (11 scores)
a. P=1/11
b. could take 8,9 or 10 points ( 3 scores)
   P=3/11
c. could 5,4,3,2,1,or 0 points (6 scores)
    P=6/11
d. could take 6,7,8,9 ( 4 scores)
    P=4/11

The answer is b) 32 your welcome

Answer

1 number

explanation

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.