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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 14. 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 95. to 4 decimal places. Round your answer 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

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 14. 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 95. to 4 decimal places. Round your answer 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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Question 20 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 14. 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 95. to 4 decimal places. Q3: 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. IQR: d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places. Q1: Hint: Helpful videos: Round your answer • Find a Probability [+] ● Finding a Value Given a Probability [+] Hint
Transcribed Image Text:Question 20 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 14. 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 95. to 4 decimal places. Q3: 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. IQR: d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places. Q1: Hint: Helpful videos: Round your answer • Find a Probability [+] ● Finding a Value Given a Probability [+] Hint
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