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[15 points total] Suppose that the yield of a one-acre plot of soybeans is normally distributed with = 106 bushels and a standard deviation of

[15 points total] Suppose that the yield of a one-acre plot of soybeans is normally distributed with = 106 bushels and a standard deviation of = 15 bushels. Let Y be the yield of a particular one-acre plot of land. Answer the following questions. Please provide answers to 4 significant digits. Note that you are required to use the Standard Normal table provided on Carmen. When using the Standard Normal table, find the closest number to the one that you are looking for, if it is not available exactly. (a) [3 points] What is the probability that yield will be between 90 bushels and 120 bushels

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