The distribution of the sat scores in math for an incoming, Basic Statistics

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The distribution of the sat scores in math for an incoming

Question: The distribution of the SAT scores in math for an incoming class of business students has a mean of 590 and standard deviation of 22. Assume that the scores are normally distributed.

a. Find the probability that an individual's SAT score is less than 550.

b. Find the probability that an individual's SAT score is between 550 and 600.

c. Find the probability that an individual's SAT score is greater than 620.

d. What percentage of students will have scored better than 700?

e. Find the standardized values for students scoring 550, 600, 650, and 700 on the test.

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