The tread life (x) of tires follow normal distribution with µ = 60,000 and σ = 6000 miles. The manufacturer guarante

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The tread life (x) of tires follow normaldistribution with µ = 60,000 and σ = 6000 miles. Themanufacturer guarantees the tread life for the first 52,000 miles.(i) What proportion of tires last at least 55,000miles? (ii) What proportion of the tires will need to bereplaced under warranty? (iii) If you buy 36 tires, what is the probability that the average life of your 36tires will exceed 61,000? (iv) The manufacturer iswilling to replace only 3% of its tires under a warranty programinvolving tread life. Find the tread life covered under thewarranty.