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8 StatCrunch. IHE Normal Distribution For 1-3, draw the standard normal curve for each and shade the appropriate region. 1. The area to the left of z 1.04 2. The area between z =-34 and z-1.03 3. Find the area of zz0- 4. Dunlop Tires manufactures a tire with a lifetime that approximately follows a normal distribution with a mean of 70,000 miles and a standard deviation of 4400 miles. a. What proportion of the tires will last for a least 75,000 miles? Draw the normal curve and shade the appropriate region. b. Suppose that Dunlop warrants the tires for 60,000 miles. What proportion of tires will last 60,000 miles or less? Draw the normal curve and shade the appropriate region. What is the probability that a randomly selected tire lasts between 65,000 and 80,000 miles? c. d. Suppose that Dunlop wants to warrant no more than 2% of its tires what mileage should the company advertise as its warranty mileage? The waist circumference of males 20 to 29 years old is approximately normally distributed with a mean of 92.5 cm and a standard deviation of 13.7 cm. Determine the waist circumferences that determine the middle 90 % of all waist circumferences. (Dont forget to draw the curve and shad the appropriate region.) 5. it

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