On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 106 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an...

On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 106 and a standard deviation of 15. 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 81.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?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: