Question

On a planet far far away from Earth, IQ of the ruling species is
normally distributed with a mean of 107 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 ~ N(,)

b. Find the probability that a randomly selected person's IQ is
over 116. **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? **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:

Q3:

IQR:

Answer #1

a)

b)

P(X>116) =?

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? **Round your answer to 2
decimal places.**

d)

**IQR = Q3-Q1=**119.14082-94.8591=24.2817

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...

On a planet far far away from Earth, IQ of the ruling species is
normally distributed with a mean of 101 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 75. Round your answer to 4 decimal
places.
c. A school offers special services for all children in the...

On a planet far far away from Earth, IQ of the ruling species is
normally distributed with a mean of 119 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 ~ N(,)
b. Find the probability that a randomly selected person's IQ is
over 104. Round your answer to 4 decimal
places.
c. A school offers special services for all children in the...

On a planet far far away from Earth, IQ of the ruling species is
normally distributed with a mean of 105 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 87. Round your answer to 4 decimal
places.
c. A school offers special services for all children in the...

On a planet far far away from Earth, IQ of the ruling species is
normally distributed with a mean of 110 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( , ) b. Find
the probability that a randomly selected person's IQ is over 119.
Round your answer to 4 decimal places. c. A school offers special
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Grover Hot Springs . Round all answers to 4 decimal places where
possible.
a. What is the distribution of X? X ~ N( , )
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IQ scores are known to be normally distributed with a mean of
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a. Determine the percentage of students who score between 85 and
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b. Determine the percentage of students who score 80 or
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c. Obtain the quartiles, Q1, Q2, and Q3 for the IQ scores, and
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Assume that adults have IQ scores that are normally distributed
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Find the probability that a randomly selected adult has an IQ
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(Hint: Draw a graph.) (Round to four decimal places as
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Assume that adults have IQ scores that are normally distributed
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The probability that a randomly selected adult from this group has
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nothing.
(Round to four decimal places as needed.)

The amount of pollutants that are found in waterways near large
cities is normally distributed with mean 8.8 ppm and standard
deviation 1.8 ppm. 12 randomly selected large cities are studied.
Round all answers to 4 decimal places where possible.
What is the distribution of X X ? X X ~ N(,)
What is the distribution of ¯ x x¯ ? ¯ x x¯ ~ N(,)
What is the probability that one randomly selected city's
waterway will have more than...

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