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On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 114 and a standard deviation

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On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 114 and a standard deviation of 16. Suppose one individual is randomly chosen. Let X = IQ of an individual. a. What is the distribution of X? X ~ N{--) b. Find the probability that a randomly selected person's IQ is over 125. C] Round your answer to 4 decimal places. c. A school offers special services for all children in the bottom 3% for IQ scores. What is the highest IQ score a child can have and still receive special services? SRound your answer to 2 decimal places. d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places. IQR: C]

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