The Normal Distribution

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The Normal Distribution

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Presentation transcript:

The Normal Distribution Chapter 10

Continuous Random Variable A variable which can take any real value within a specific range Denoted by a capital letter such as X The probability of a continuous random variable being exactly equal to a particular value is 0.

Normal Distribution Demo

The Normal Distribution Curve

* If a continuous variable X is normally distributed with mean µ and standard deviation σ, we write 𝑋~𝑁 𝜇, 𝜎 2 .

Pg. 303 Example 1

Using the TI-84 to find Normal Probability

Pg. 305 Example 2

Pg. 306 Example 3

Quantiles/k-Values Quantiles are points in a distribution that relate to the rank order of values in that distribution. Denoted by k Types of problems: given a probability, calculate a corresponding measurement Use the inverse normal function on the calculator.

Pg. 308 Example 4 https://www.youtube.com/watch?v=t4w12KRxc5M

Pg. 309 Example 5