Question

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 14. 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 107. Round your answer to 4 decimal places.

c. A school offers special services for all children in the bottom 7% 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

Answer:

Step-by-step explanation:

N(106,14²)

(calculated using excel, let me know if you were supposed to use a normal table) = 0.4715

85.34

Q1:96.56

Q3:115.44

IQR (which is Q3-Q1)= 115.44-96.56= 18.88