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Probabilistic and Statistical Techniques

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Lecture 23Eng. Ismail Zakaria El Daour

2010

Chapter 6 Normal Probability Distribution

Probabilistic and Statistical Techniques

Probabilistic and Statistical Techniques

Table A-2

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

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

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

Thanks for Your Attention