Statistical Methods and Probability Analysis Assignment

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Statistical Methods and Probability Analysis Assignment1. A pollster selected 4 of 7 available people.77!Number of different groups of 4 possible are,44! 74 !7!4!3!7654!4! 321210635 2.Your firm has a contract to make 2000 staff uniforms for a fast–food retailer. The heights ofthe staff are normally distributed with a mean of 70 inches and astandard deviation of 3 inches.What percentage of uniforms will have to fit staff shorter than 67inches? What percentage willhave to be suitable for 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 standarddeviation of 3 inches.The heights of the staff,~70,3The percentage of uniforms will have to fit staffXNshorter than 67 inches,67676770310.158716%The percentage will have to be suitable for staff taller than 73 inches,7376767032XPXPPZP ZXPXPPZP ZP Z  20.022752.5%a) 16% & 2.5%b) 68% & 95%c) 32% & 5%3.The industry standards suggest that 20% of new vehicles require warranty service within thefirst 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 withinthe first year. A dealer sold 20 Nissans yesterday.Number of vehicles requires warranty service,~ Binomial20,Xn 2020%0.20 .20The probability mass function of,0.200.80,0,1, 2,, 20.xxpX P Xxxxa) What is the probability that none of these vehicles requires warranty service?

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