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QUESTIGN THREE a) Company X just developed a new steel-belted radial me that will be sold through a chain of discount stores. Because the IBIS.

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QUESTIGN THREE a) Company X just developed a new steel-belted radial me that will be sold through a chain of discount stores. Because the IBIS. is a new product, the company's management believes that the mileage guarantee offered with the mellow be an important factor in the consumer acceptance of product. Before finalizing the $3322 mileage guarantee policy, the actual road test with the meg shows that the mean menuleage is 36.5% kilometers and the standard deviation in mileage is 5,U{1 kilometers. In addition. the data collected indicate that a normal distribution is a reasonable assumption. I) Company X will distribute the Meg if 2t] per cent of the m manufactured can be expected to last more than 4, kilometers. Should the company distribute the ms? (3 Marks) 11) The company will provide a discount on a new set of ms if the mileage on the original gyms does not exceed the mileage stated on the guarantee. What should the guarantee mileage be if the company wants no more than 1D% of the mm be eligible for the discount? (4 Marks) Solve the above using probability distribution

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