Probabilistic and statistical techniques
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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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Probabilistic and Statistical Techniques

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Probabilistic and statistical techniques

Lecture 23Eng. Ismail Zakaria El Daour

2010

Probabilistic and Statistical Techniques


Chapter 6 normal probability distribution

Chapter 6 Normal Probability Distribution

Probabilistic and Statistical Techniques


Probabilistic and statistical techniques

Probabilistic and Statistical Techniques

Table A-2


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


Example cont2

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


Probabilistic and statistical techniques

Thanks for Your Attention


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