When Attending a Movie, Patrons Are Interested in Avoiding the Pre-Movie

question 13

Short Answer

When attending a movie, patrons are interested in avoiding the pre-movie trivia games, ads, and previews. It is known that the previews begin at the scheduled movie start time and they last between 5 and 15 minutes. Assume that the time of the previews is uniformly distributed.
A) Find the expected time and variance of the movie preview duration.
B) What is the probability that on a given day the previews last between 10 and 12 minutes?

• A) Find the expected time and variance of the movie preview duration.
• B) What is the probability that on a given day the previews last between 10 and 12 minutes?

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Definitions:

Total Rate of Return

A measure of the total gain or loss on an investment over a specified period, including both capital gains and dividends or interest.

Total Dollar Return

The overall financial gain or loss on an investment, expressed in dollars, including dividends, interest, and capital gains.

Dividend Payments

Cash payments made by a company to its shareholders as a distribution of profits.

Variance

A statistical measurement of the dispersion of a set of data points, reflecting how much each number in the set differs from the mean.