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:

Logarithms

In mathematics, the exponent or power to which a base must be raised to yield a specific number.

Condense

In mathematics, to condense an expression means to simplify it into a more compact form, often by using properties of logarithms or exponents.

Solution

The value or set of values that satisfy an equation, inequality, or system of equations, providing the answer to a mathematical problem.

Equation

A mathematical statement that asserts the equality of two expressions, typically in the form of 'A = B' where A and B can be algebraic expressions.