The Following Data Represent the Scores of 50 Students on a Statistics

question 120

Essay

The following data represent the scores of 50 students on a statistics exam. Suppose that
one of the 50 students is chosen at random and that studentʹs score is noted. $$\begin{array} { l l l l l l l l l l } 39 & 51 & 59 & 63 & 66 & 68 & 68 & 69 & 70 & 71 \\71 & 71 & 73 & 74 & 76 & 76 & 76 & 77 & 78 & 79 \\79 & 79 & 79 & 80 & 80 & 82 & 83 & 83 & 83 & 85 \\85 & 86 & 86 & 88 & 88 & 88 & 88 & 89 & 89 & 89 \\90 & 90 & 91 & 91 & 92 & 95 & 96 & 97 & 97 & 98\end{array}$$ a. What is the probability that the student's score is 88?
b. What is the probability that the student's score is less than 60?
c. What is the probability that the student's score is between 70 and 79, inclusive?

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Definitions:

Marginal Product

The increase in output that results from a one-unit increase in the input of a particular resource, holding all other inputs constant.

Factor X

A hypothetical or unspecified factor in an equation, model, or situation that has an impact on the outcome but is not explicitly defined.

Production Function

An equation that describes the maximum output that can be obtained from a given set of inputs.

Isoquant

An isoquant line represents combinations of inputs that produce the same level of output in production theory.