A Producer Has a History of Making Bad Movies

question 72

Short Answer

A producer has a history of making bad movies. The movies he has produced have averaged $160,000 dollars at the box office with a standard deviation of $185,000. He thinks his latest movie will be a huge hit. How much will the movie earn at the box office if it is only expected to earn that much or more 0.5% of the time? (Assume that the profit at the box office is normally distributed.)

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Definitions:

Wage

A fixed regular payment, typically paid on a daily or weekly basis, made by an employer to an employee, especially to manual or unskilled workers.

Rental Rate

The cost associated with leasing a particular commodity, property, or piece of equipment per unit time.

Marginal Product

The extra production resulting from the increase of a particular input by one unit, assuming all other factors remain constant.

Output

The total amount of goods or services produced by a company, industry, or country within a specific period.