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  1. in a box is normally distributed with a mean of 106 and a standard deviation of 2. a) Draw and label the Normal curve from the information. b) What percentage of boxes contain more than 104 bolts?

  2. Worksheet 3 for Wed., Sept. 16: Normal Distributions. Practice using the standard normal table to find the following. In each case sketch the area that you are looking for under the standard normal curve drawn.

  3. WorksheetNormal Distributions. 1. For each problem below draw a picture of the normal curve and shade the area you have to find. Let Z represent a variable following a standard normal distribution. (a) Find the proportion that is less than z=2.00. (b) Find the proportion that is between z = −.13 and z = 1.75.

  4. Objectives. After studying this chapter you should. appreciate the wide variety of circumstances in which the normal distribution can be used; be able to use tables of the normal distribution to solve problems; be able to use the normal distribution as an approximation to other distributions in appropriate circumstances.

  5. 2. Standard Normal Distribution (z-ditribution) A key tool for calculating proportions and percentages associated with normal distri-butions is the standard normal distribution. The standard normal distribution is a bell-shaped planar region bounded above by a bell-shaped curve and below by a horizontal

  6. The standard normal distribution is a normal probability distribution with μ = 0 and σ = 1 . Important Notes. The z-score is used on the horizontal axis. The area of the region under the curve is equal to the associated probability of occurrence. Two Ways to Find Area. 1. Use Table A-2. 2. Use Graphing Calculator (TI-84 Plus)

  7. THE STANDARD NORMAL CURVE Worksheet. For each of the problems below, be sure to SKETCH the standard normal curve and SHADE IN the area you are being asked to find. See the following example: Find the area under the standard normal curve that lies between z = -1.65 and z = 1.65.

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