A tire company has developed a new type of steel-belted radial tire. Extensive testing indicates the population of mileages obtained by all tires of this new type is normally distributed with a mean of 42,079 miles and a standard deviation of 3,500 miles. The company wishes to offer a guarantee providing a discount on a new set of tires if the original tires purchased do not exceed the mileage stated in the guarantee. What should the guaranteed mileage be if the tire company desires that no more than 2 percent of the tires will fail to meet the guaranteed mileage? (Use a z-score to 2 decimal places in your intermediate calculations. Round your final answer to the nearest mile.) P(xk)=.02 If x is a binomial random variable where n = 100 and p = 1, find the probability that x is less than or equal to 10, using the normal approximation to the binomial. Multiple Choice 5662 O .4325 O .9544 O 0446An apple juice producer buys all his apples from a conglomerate of apple growers in one northwestern state. The amount of juice obtained from each of these apples is approximately normally distributed with a mean of 2.25 ounces and a standard deviation of 15 ounce. What is the probability that a randomly selected apple will contain between 2.00 and 2.50 ounces? Multiple Choice O .9525 O 500 O 9044 O 9544