Question

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 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

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 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...

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 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 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
services for all...

IQ scores are known to be normally distributed with a mean of
100 and a standard deviation of 16.
a. Determine the percentage of students who score between 85 and
120.
b. Determine the percentage of students who score 80 or
greater.
c. Obtain the quartiles, Q1, Q2, and Q3 for the IQ scores, and
show this on a sketch of a normal curve. Include both a z-axis and
an x-axis below the curve.
d. If Mensa only accepts the...

Assume that adults have IQ scores that are normally distributed
with a mean of 101.9 and a standard deviation of 23.9.
Find the probability that a randomly selected adult has an IQ
greater than 149.6
(Hint: Draw a graph.) (Round to four decimal places as
needed.)

Assume that adults have IQ scores that are normally distributed
with a mean of 99.9 and a standard deviation of 15.5. Find the
probability that a randomly selected adult has an IQ greater than
125.3. (Hint: Draw a graph.)
The probability that a randomly selected adult from this group has
an IQ greater than 125.3 is
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...

Suppose the age that children learn to walk is normally
distributed with mean 13 months and standard deviation 2.1
month.
32 randomly selected people were asked what age they learned to
walk. Round all answers to 4 decimal places where possible.
a. For the 32 people, find the probability that the average age
that they learned to walk is between 12.7 and 13.2 months old.
b.Find the IQR for the average first time walking age for groups
of 32 people....

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