Please show all the work so I can understand how solve each of these questions. The tools I am using are the t84 calculator and desmos. So if you can how solve with these I would really appreciate it.

Question 5 On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 101 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 102. Round your answer to ctor 4 decimal places. C. A school offers special services for all children in the bottom 5% for IQ scores. What is the highest IQ K 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: Hint: Helpful videos