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Statistical Methods and Probability Analysis Assignment

An assignment exploring key statistical methods and probability analysis.

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    Statistical Methods and Probability Analysis Assignment   1. A pollster selected 4 of 7 available people. 7 7! Number of different groups of 4 possible are, 4 4! 7 4 ! 7! 4!3! 7 6 5 4! 4! 3 2 1 210 6 35                   2. Your firm has a contract to make 2000 staff uniforms for a fast – food retailer. The heights of the staff are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. What percentage of uniforms will have to fit staff shorter than 67inches? What percentage will have to be suitable f or staff taller than 76 inches ?

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      The heights of the staff are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The heights of the staff, ~ 70, 3 The percentage of uniforms will have to fit staff X N              shorter than 67 inches, 67 67 67 70 3 1 0.1587 16% The percentage will have to be suitable for staff taller than 73 inches, 73 76 76 70 3 2 X P X P P Z P Z X P X P P Z P Z P Z                                                             2 0.02275 2.5%   a) 16% & 2.5% b) 68% & 95% c) 32% & 5% 3. The industry standards suggest that 20% of new vehicles require warranty service within the first year. A dealer sold 20 Nissans yesterday. Use equation for Binomial Probability for part a) and Table II for part b) & c). Show work! The industry standards suggest that 20% of new vehicles require warranty service within the first year. A dealer sold 20 Nissans yesterday. Number of vehicles requires warranty service, ~ Binomial 20, X n          20 20% 0.20 . 20 The probability mass function of , 0.20 0.80 , 0,1, 2, , 20. x x p X P X x x x             a) What is the probability that none of these vehicles requires warranty service?

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