On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 115 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( 115 196 b. Find the probability that a randomly selected person's IQ is over 84. 0.9866 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? 86.25 v 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: 105.55 Q3: 124.45 IQR: 18.9

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On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of
115 and a standard deviation of 14. Suppose one individual is randomly chosen. Let X = 1Q of an
individual.
a. What is the distribution of X? X - N( 115
196
b. Find the probability that a randomly selected person's IQ is over 84. 0.9866
V Round your
answer to 4 decimal places.
c. A school offers special services for all children in the bottom 2% for 1Q scores. What is the highest
IQ score a child can have and still receive special services? 86.25
v 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: 105.55
Q3: 124.45
IQR: 18.9
Transcribed Image Text:On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 115 and a standard deviation of 14. Suppose one individual is randomly chosen. Let X = 1Q of an individual. a. What is the distribution of X? X - N( 115 196 b. Find the probability that a randomly selected person's IQ is over 84. 0.9866 V Round your answer to 4 decimal places. c. A school offers special services for all children in the bottom 2% for 1Q scores. What is the highest IQ score a child can have and still receive special services? 86.25 v 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: 105.55 Q3: 124.45 IQR: 18.9
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