5. According to the National Institute of Mental Health, 20 % of all adult Americans suffer from a psychiatric disorder. Suppose four adult Americans are to be examined for psychiatric disorders, and let x denote the number out of the four that have a psychiatric disorder. a) Determine the mean and standard deviation of the random variable x using the general formulas . Show it in tabular form. P(x) xP(x) x? x²P(x) b) Determine the mean and standard deviation of x using the shortcut formulas.

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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.