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Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1 . Draw a graph and find the bone density test scores that can be used as cutoff values separating the lowest 20% and highest 20%, indicating levels that are too low or too high, respectively. Sketch the region. Choose the correct graph below. A. B. C. D. The bone density scores are (Use a comma to separate answers as needed. Round to two decimal places as needed.) In a recent year, an author wrote 152 checks. Use the Poisson distribution to find the probability that, on a randomly selected day, he wrote at least one check The probability is (Round to three decimal places as needed.) A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 49.0 and 54.0 minutes. Find the probability that a given class period runs between 50.25 and 50.5 minutes. Find the probability of selecting a class that runs between 50.25 and 50.5 minutes. (Round to three decimal places as needed.) When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan Randomly select and test 47 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 2 batteries do not meet specifications. A shipment contains 7000 batteries, and 2% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected? The probability that this whole shipment will be accepted is (Round to four decimal places as needed) The company will accept % of the shipments and will reject % of the shipments, so (Round to two decimal places as needed.)