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 106 18 می می Hint b. Find the probability that a randomly selected person's IQ is over 114. 0.3284 answer to 4 decimal places. Exactly! Round your c. A school offers special services for all children in the bottom 3% for IQ scores. What is the highest x Round your answer to 2 IQ score a child can have and still receive special services? 72.14 decimal places. Hmm?! Something isn't quite right. For this you are really looking at the 3 th percentile. d. Find the 25th and 75th percentiles (a.k.a Q1 and Q3) Round your answers to 2 decimal places. Q1: Q3: C

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
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-N106
18
08 Hint
b. Find the probability that a randomly selected person's IQ is over 114. 0.3284
answer to 4 decimal places.
✓ Exactly!
Round your
c. A school offers special services for all children in the bottom 3% for IQ scores. What is the highest
x Round your answer to 2
IQ score a child can have and still receive special services? 72.14
Round
decimal places.
* Hmm?! Something isn't quite right. For this you are really looking at the 3 th percentile.
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-N106 18 08 Hint b. Find the probability that a randomly selected person's IQ is over 114. 0.3284 answer to 4 decimal places. ✓ Exactly! Round your c. A school offers special services for all children in the bottom 3% for IQ scores. What is the highest x Round your answer to 2 IQ score a child can have and still receive special services? 72.14 Round decimal places. * Hmm?! Something isn't quite right. For this you are really looking at the 3 th percentile. d. Find the 25th and 75th percentiles (a.k.a Q1 and Q3) Round your answers to 2 decimal places. Q1: Q3:
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