On a planet far far away from Earth, IQ of the ruling species isnormally distributed with a mean of 119 and a standard deviation of15. Suppose one individual is randomly chosen. Let X = IQ of anindividual. a. What is the distribution of X? X ~ N( 119 , 15 ) b.Find the probability that a randomly selected person's IQ is over113. Round your answer to 4 decimal places. c. A school offersspecial services for all children in the bottom 2% for IQ scores.What is the highest IQ score a child can have and still receivespecial services? Round your answer to 2 decimal places. d. Findthe Inter Quartile Range (IQR) for IQ scores. Round your answers to2 decimal places. Q1: Q3: IQR:
