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Lecture 23 Eng. Ismail Zakaria El Daour 2010. Probabilistic and Statistical Techniques. Chapter 6 Normal Probability Distribution. Probabilistic and Statistical Techniques. Probabilistic and Statistical Techniques. Table A-2. Probabilistic and Statistical Techniques.

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chapter 6 normal probability distribution
Chapter 6 Normal Probability Distribution

Probabilistic and Statistical Techniques

example
Probabilistic and Statistical Techniques

Find the area under the standard normal curve for the following, using the z-table. Sketch each one.

(a) between z = 0 and z = 0.78

(b) between z = -0.56 and z = 0

(c) between z = -0.43 and z = 0.78

(d) between z = 0.44 and z = 1.50

(e) to the right of z = -1.33

Example
example cont
Example - cont

Probabilistic and Statistical Techniques

(a) 0.2823

(b) 0.2123

example cont1
Example - cont

Probabilistic and Statistical Techniques

(c) 0.4487

(d) 0.2632

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Example - cont

Probabilistic and Statistical Techniques

(e) 0.9082

example1
Probabilistic and Statistical Techniques

It was found that the mean length of 100 parts produced by a lathe was 20.05 mm with a standard deviation of 0.02 mm. Find the probability that a part selected at random would have a length

(a) between 20.03 mm and 20.08 mm

(b) between 20.06 mm and 20.07 mm

(c) less than 20.01 mm

(d) greater than 20.09 mm

Example
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