Use the Rule of Total Probability to Find the Indicated

question 53

Multiple Choice

Use the rule of total probability to find the indicated probability.
-A teacher designs a test so a student who studies will pass 82% of the time, but a student who does not study will pass 13% of the time. A certain student studies for 81% of the tests taken. On a given
Test, what is the probability that student passes?

• A)0.664
• B)0.247
• C)0.689
• D)0.475

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Definitions:

Fixed Costs

Costs that do not change with the level of production or sales over a certain period, such as rent or salaries.

Profit

The financial gain obtained when the amount of revenue gained from a business activity exceeds the expenses, costs, and taxes involved in sustaining the activity.

Units

Refers to a standard quantity or measurement used for comparison and calculation, such as in physics or mathematics.

Month

A unit of time, approximately 30 days, used as a standard measurement for billing cycles, budgeting, and financial forecasting.