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Use the Appropriate Normal Distribution to Approximate the Resulting Binomial

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Use the appropriate normal distribution to approximate the resulting binomial distribution. Preview Showcase, a research firm, screens pilots of new TV shows before a randomly selected audience and then solicits their opinions of the shows. Based on past experience, 20% of those who get complimentary tickets are "no-shows." The theater has a seating capacity of 450. Management has decided, for public relations reasons, that a person who has been solicited for a screening should have a probability of .99 of being seated. How many tickets should the company send out to prospective viewers for each screening?

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Definitions:

Fixed Costs

Costs that do not change with the level of output or production, such as rent, salaries, or loan payments.

Variable Costs

Costs that change in proportion to the amount of goods or services produced.

Average Total Cost

The sum of all production costs divided by the quantity of output produced, yielding the cost per unit on average.

Output

The complete sum of products or services created by an enterprise, field, or economic entity.

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