1. On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 107 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 104. Round your answer to 4 decimal places. 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?Round your answer to 2 decimal places. d. Find the Inter Quartile Range (IQR) for IQ scores.Round your answers to 2 decimal places. Q1: ? Q3: ? IQR: ?

2. Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0C and a standard deviation of 1.00C. A single thermometer is randomly selected and tested. FindP₃₉, the 39-percentile. This is the temperature reading separating the bottom 39% from the top 61%. a. P₃₉= ___C?

3.Please show your answer to 2 decimal places.

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