On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 105 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 - N( b. Find the probability that a randomly selected person's IQ is over 120. Round your answer to 4 decimal places. c. A school offers special services for all children in the bottom 2% 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 105 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 - N(
b. Find the probability that a randomly selected person's IQ is over 120.
Round your answer to
4 decimal places.
c. A school offers special services for all children in the bottom 2% 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:
Transcribed Image Text:On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 105 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 - N( b. Find the probability that a randomly selected person's IQ is over 120. Round your answer to 4 decimal places. c. A school offers special services for all children in the bottom 2% 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:
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