The average production cost for major movies is 61 million dollars and the standard deviation is 19 million dollars. Assume the production cost distribution is normal. Suppose that 15 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N 61 V! 19 b. What is the distribution of z? ī - N 61 4.9058 c. For a single randomly selected movie, find the probability that this movie's production cost is between 63 and 66 million dollars. d. For the group of 15 movies, find the probability that the average production cost is between 63 and 66 million dollars. e. For part d), is the assumption of normal necessary? O NoO Yes

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.