Please help answer

Question

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 79.  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: 

Answer 1

1) The normal distribution has mean 107 and standard deviation 16

2) .9599, with technology using normal cdf.

3) 76.91, using inverse norm function.

4) q1 = 96.21, q2 = 117.79, iqr = q3-q1 = 117.79-96.21 = 21.58. Inverse norm can find q1 and q2.