Question: Problem 3 (1 point each): A large dairy farm reports that the mean weight of their eight-month-old heifers is normally distributed with u = 475

Problem 3 (1 point each): A large dairy farm reports that the mean weight of their eight-month-old heifers is normally distributed with u = 475 lbs and o = 25 lbs. Define X = weight of an eight-month-old heifer. a) If you randomly select one heifer from this group, what is the probability that the heifer weighs less than 445 pounds? b) What weight separates the heaviest 6% of heifers from all heifers on the given dairy farm? c) A randomly selected heifer from this group weighs 485 pounds. What percentile does this correspond to? d) A random sample of 35 heifers are selected. What is the probability that the mean weight exceeds 477 pounds

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