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# Probabilistic and Statistical Techniques - PowerPoint PPT Presentation

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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Lecture 23Eng. Ismail Zakaria El Daour

2010

Probabilistic and Statistical Techniques

Chapter 6 Normal Probability Distribution

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

Probabilistic and Statistical Techniques

(a) 0.2823

(b) 0.2123

Probabilistic and Statistical Techniques

(c) 0.4487

(d) 0.2632

Probabilistic and Statistical Techniques

(e) 0.9082

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