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Mathematics, 19.10.2020 05:01 axxjg7295

On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 120 and a standard deviation of 15. 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 107.
Round your answer to 4 decimal places.

c. A school offers special services for all children in the bottom 3% for IQ scores. What is the highest IQ score a child can have and still receive special services? (Note: Use the closest value in your z table).
Round your answer to 1 decimal place.

d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to whole numbers.
Q1:

Q3:

IQR:

Note: I don't understand where to start, most of my homework questions look like this and I don't understand how to solve them. Can someone please explain how to work through these parts?

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