On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 100 and a standard deviation of 17. Suppose one individual is randomly chosen. Let X = IQ of an individual. a. What is the distribution of X? X - N100 17 b. Find the probability that a randomly selected person's IQ is over 99. 0.5207 x Round your answer to 4 decimal places. c. A school offers special services for all children in the bottom 7% for IQ scores. What is the highest IQ score a child can have and still receive special services? 1.4759 X 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: 88.43 X Q3: 111.57 X IQR: 23.14 X

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On a planet far far away from Earth, IQ of the ruling species is normally
distributed with a mean of 100 and a standard deviation of 17. Suppose
one individual is randomly chosen. Let X = IQ of an individual.
a. What is the distribution of X? X N 100
17
b. Find the probability that a randomly selected person's IQ is over 99.
0.5207 x Round your answer to 4 decimal places.
c. A school offers special services for all children in the bottom 7% for IQ
scores. What is the highest IQ score a child can have and still receive
special services? 1.4759 x 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: 88.43 X
Q3: 111.57 X
IQR: 23.14 X
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Transcribed Image Text:On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 100 and a standard deviation of 17. Suppose one individual is randomly chosen. Let X = IQ of an individual. a. What is the distribution of X? X N 100 17 b. Find the probability that a randomly selected person's IQ is over 99. 0.5207 x Round your answer to 4 decimal places. c. A school offers special services for all children in the bottom 7% for IQ scores. What is the highest IQ score a child can have and still receive special services? 1.4759 x 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: 88.43 X Q3: 111.57 X IQR: 23.14 X 'm wr en to ter rm. # fit one ON
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