a. What is the distribution of X? X - N( Hint b. Find the probability that a randomly selected person's IQ is over 114. answer to 4 decimal places. Round your c. A school offers special services for all children in the bottom 3% for IQ scores. What is the highest Round your answer to 2 IQ score a child can have and still receive special services? decimal places.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 18. Suppose one individual is randomly chosen. Let X = IQ of an
individual.
a. What is the distribution of X? X-NO
Hint
b. Find the probability that a randomly selected person's IQ is over 114.
answer to 4 decimal places.
Round your
c. A school offers special services for all children in the bottom 3% for IQ scores. What is the highest
Round your answer to 2
IQ score a child can have and still receive special services?
decimal places.
d. Find the 25th and 75th percentiles (a.k.a Q1 and Q3) Round your answers to 2 decimal places.
Q1:
Q3:
Transcribed Image Text: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 18. Suppose one individual is randomly chosen. Let X = IQ of an individual. a. What is the distribution of X? X-NO Hint b. Find the probability that a randomly selected person's IQ is over 114. answer to 4 decimal places. Round your c. A school offers special services for all children in the bottom 3% for IQ scores. What is the highest Round your answer to 2 IQ score a child can have and still receive special services? decimal places. d. Find the 25th and 75th percentiles (a.k.a Q1 and Q3) Round your answers to 2 decimal places. Q1: Q3:
Expert Solution
Step 1

It is given that 

Mean, μ = 106

Standard deviation, σ = 18

 

 

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