Assume You Are Taking Two Courses This Semester (A and B)

question 3

Essay

Assume you are taking two courses this semester (A and B). Based on your opinion, you believe the probability that you will pass course A is 0.835; the probability that you will pass both courses is 0.276. You further believe the probability that you will pass at least one of the courses is 0.981.
a.What is the probability that you will pass course B?
b.Is the passing of the two courses independent events? Use probability information to justify your answer.
c.Are the events of passing the courses mutually exclusive? Explain.
d.What method of assigning probabilities did you use?

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Definitions:

\(10,000(1.01)^{3t}\)

An exponential function representing the growth of an initial quantity where 10,000 is the initial value, 1.01 is the growth factor, and \(3t\) denotes the rate and time variable.

\(1.7^{-x}\)

An expression denoting an inverse exponential function where the base is 1.7 and the exponent is -x.

Three Decimal Places

A numerical expression rounded or precise to three digits to the right of the decimal point.

Graph

A visual representation of data or of a mathematical function on a set of axes.