6. According to the College Board the mean SAT score for female college bound seniors in 2009 was 500 with a standard deviation of 100. The distribution of scores was approximately normal. a) A randomly chosen female college bound student scored 540 points. How many standard deviation units away is her score from the mean score? b) What is the probability that a randomly selected student has score less than 380? (Use table) c) Suppose the distribution of scores is normally distributed with a mean score of 550 points (NOT 500 points as stated earlier). Will the probability that a randomly selected student has Score less than 380 be less or more? d) Is a score of 720 unusually high? Why or why not?

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