MATH 391- Sheet 3 B- Summer 13-14.pdf - Beirut Arab University Probability and Statistics Faculty of Engineering \u2013 Tripoli Branch MATH 391 Summer 2013

MATH 391- Sheet 3 B- Summer 13-14.pdf - Beirut Arab...

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Beirut Arab University Probability and Statistics Faculty of Engineering Tripoli Branch MATH 391 Summer 2013 14 ________________________________________________________________________________________ Sheet 3-B ( To be submitted on 21/8/2014) (Continuous Probability Distributions) Binomial Distribution 1- The finished inside diameter of a piston ring is normally distributed with a mean of 10 centimeters and a standard deviation of 0.03 centimeter. a) What proportion of rings will have inside diameters exceeding 10.075 centimeters? b) What is the probability that a piston ring will have an inside diameter between 9.97 and 10.03 centimeters? c) Below what value of inside diameter will 15% of the piston rings fall? (Answer: a) 0.0062 b) 0.6829, c) 9.969 cm) 2- The average life of a certain type of small motor is 10 years with a standard deviation of 2 years. The manufacturer replaces free all motors that fail while under guarantee. If he is willing to replace only 3% of the motors that fail, how long a guarantee should he offer? Assume that the lifetime of a
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