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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?


Definitions:

Field Diameter

The visible area observed through the microscope lens; its size depends on the magnification power.

High-powered Objective

An objective lens used in microscopy with high magnification capabilities, allowing for the detailed observation of minute specimens.

Micrometers

Units of length in the metric system equal to one millionth of a meter, commonly used in science and engineering for precise measurements.

μm

Micrometer, a unit of length in the metric system equal to one millionth of a meter, used to measure small distances, such as those in biological cells and structures.

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