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Students taking a standizedvIQ test had a mean score of 100 with a standard deviation of...

Students taking a standizedvIQ test had a mean score of 100 with a standard deviation of 15. Assume that the scores are normally distributed.
a) Find the probaility that a student had a score less than 95.
b) If 2000 students are randomly selected, how many would be expected to have an IQ score that is less than 90?
c) What is the cut off score that would place a student in the bottom 10%?
d) A random sample of 60 students in draw from ghis population . what is the propability the mean IQ score is greater than 105?

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