Solution:
X: IQ of an individual
μ = 118
σ = 18
a)
for bottom 4%
Z = -1.751
x = z*σ + μ
= -1.751*18 + 118
= 86.49
Answer: 86.49
b)
Q1 = 106.86
Q3 = 130.14
IQR = 23.28
On a planet far far away from Earth, IQ of the ruling species is normally distributed...
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 3% for IQ scores. What is the highest IQ score a child can have and still receive special services? (Note: Use the closest value in your z table). Round your answer to 1 decimal place.d. Find the Inter Quartile Range (IQR) for...
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 60 minutes and a standard deviation of 17 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , ) b. Find the probability that a randomly...