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At the College of Warm & Fuzzy, Good Grades in Math

question 7

Essay

At the College of Warm & Fuzzy, good grades in math are easy to come by. The
grade distribution is given in the table below:  Grade  A  B  C  D  F  Proportion 0.300.350.250.090.01\begin{array} { | l | c | c | c | c | c | } \hline \text { Grade } & \text { A } & \text { B } & \text { C } & \text { D } & \text { F } \\\hline \text { Proportion } & 0.30 & 0.35 & 0.25 & 0.09 & 0.01 \\\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) BAC\mathbf { B A C }
b) AAB\mathbf { A } \mathbf { A B }

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Definitions:

Experimental Social Psychology

A branch of psychology focusing on how individuals' thoughts, feelings, and behaviors are influenced by the actual, imagined, or implied presence of others, using experimental methods for investigation.

Wundt

Refers to Wilhelm Wundt, often considered the father of modern psychology, who established the first psychology laboratory and focused on experimental methods.

Lewin

Kurt Lewin, a psychologist known for his field theory in social science, emphasizing the interaction between an individual's internal state and external environment.

Computer Revolution

The significant change and rapid advancement in society and industries due to the widespread adoption and development of computers and technology.

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