For a certain standardized placement test, it was found that the scores were normally distributed, with a mean of 240 and a standard deviation of 35. Suppose that this test is given to 1000 students. (Recall that 34% of z-scores lie between 0 and 1, 13.5% lie between 1 and 2, and 2.5% are greater than 2.) (a) How many are expected to make scores between 205 and 275? students (b) How many are expected to score above 310? students (c) What is the expected range of all the scores?

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