(a) Explanation Write the expression of density function which describes the normal distribution . f ( x ) = 1 σ 2 π e − ( x − μ ) 2 / 2 σ 2 f ( x ) = 1 100 2 π e − ( x − 1400 ) 2 / 2 ( 100 ) 2 Determine the probability (b) To determine The number of males that have a brain weight that exceeds 1480 gm.

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Author: Hass

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 8.9, Problem 46E

(a)

To determine

The required percentage of brain weights that are between 1325 and 1450 g.

(b)

To determine

The number of males that have a brain weight that exceeds 1480 gm.

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Chapter 8.9, Problem 45E

Chapter 8.9, Problem 47E

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