Question: (10 Point, 3 points each for a) and b), 4 points for 0)) 8. Suppose the population distribution of emotional stability scores of school children

(10 Point, 3 points each for a) and b), 4 points
(10 Point, 3 points each for a) and b), 4 points for 0)) 8. Suppose the population distribution of emotional stability scores of school children ages 8-12 is bell-shaped and symmetric, with a mean of 100 and standard deviation of 20. a) What is the probability that a student's scores is higher than 120? b) If we draw a sample of 100 children, what is the probability that the sample mean is higher than 120? c) For a sample of 64 hundred children, what is the probability that the sample mean is within 5 points on both side of the population mean

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