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Probability Statistics

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Probability Statistics

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    1. Probability & Statistics The Normal Distribution

    2. Normal Curve The bell-shaped curve, as shown below, is call a normal curve.

    3. Normally Distributed Outcomes Examples of experiments that have normally distributed outcomes: 1. Choose an individual at random and observe his/her IQ. 2. Choose a 1-day-old infant and observe his/her weight. 3. Choose a leaf at random from a particular tree and observe its length.

    4. Properties of Normal Curve

    5. Example: Properties of Normal Curve A certain experiment has normally distributed outcomes with mean equal to 1. Shade the region corresponding to the probability that the outcome (a) lies between 1 and 3; (b) lies between 0 and 2; (c) is less than .5; (d) is greater than 2.

    6. Standard Normal Curve The equation of the normal curve is

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