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
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
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 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

 

 

Note: According to Bartleby expert guidelines, we can answer only first question with their three subparts and rest can be reposted. 

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman