The SAT scores have an average of 1,200 with a standard deviation of 200. A sample of 64 scores is selected. (Round your answers to four decimal places.) (a) What is the probability that the sample mean will be larger than 1,222? (b) What is the probability that the sample mean will be less than 1,231? (c) What is the probability that the sample mean will be between 1,200 and 1,219? (d) What is the probability that the sample mean will be greater than 1,200?

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