At the University of Tough Love, Good Grades in Math

question 56

Essay

At the University of Tough Love, good grades in math are hard to come by. The
grade distribution is shown in the table below: $$\begin{array} { | c | c | c | c | c | c | } \hline \text { Grade } & \mathbf { A } & \mathbf { B } & \mathbf { C } & \mathbf { D } & \mathbf { F } \\\hline \text { Proportion } & 0.10 & 0.15 & 0.35 & 0.35 & 0.05 \\\hline\end{array}$$ Suppose three students' grade reports are selected at random with replacement. (The
math grade is written down and the report replaced in the population of reports before
the next report is selected.) Three possible outcomes of this experiment are listed
below. Calculate the probabilities of these sequences appearing. a) $\mathbf { A B C }$
b) $C C D$

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Definitions:

Birth Defects

Congenital abnormalities or conditions that are present at birth, which can affect the physical or cognitive development of a child.

Diseases

Conditions that impair normal body functions and are characterized by specific symptoms and signs.

Quantity

The quantity of a substance or abstract item that does not need a measurement unit to be quantified.

Quality

An attribute or characteristic that determines the degree of excellence or superiority of something.