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On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 103 and a standard deviation of 16. Suppose one individual is randomly chosen. Let X = IQ of an individual. Round all your answers to 2 decimal places if necessary.
a. What is the distribution of X? X ~ N( , )
b. Find the probability that a randomly selected person's IQ is over 96?
c. A school offers special services for all children in the bottom 2% for IQ scores. What is the highest IQ score a child can have and still receive special services?
d. Find the Inter Quartile Range (IQR) for IQ scores.
Q1:
Q3:
IQR:
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