Question

1. IQ tests are normally distributed with a mean of 100 and a standard deviation of 15. Find the following probabilities:

A) If a person is randomly selected, what is the probability that the person had an IQ greater than125? _________________

b) If a person is randomly selected what is the probability that the person has an IQ below 92?

c) If 40 people are randomly selected, what is the probability that their mean IQ is between 98 and 108?

Answer #1

7. IQ scores are normally distributed with a mean of 100 and a
standard deviation of 15 points.
a. Find the probability that a randomly selected person has an
IQ less than 115.
b. Find the probability that a randomly selected person has an
IQ above 60.
c. Find the 80th percentile for IQ scores.
d. Find the probability that 20 randomly selected person has an
IQ less than 110.
e. What percentage of people have IQ scores between 60...

For the following, consider that IQ scores are normally
distributed with a mean of 100 and a standard deviation of 15.
Find the probability that a person has an IQ below 60
Find the probability that a randomly selected person has an IQ
between 60 and 85
Find the probability that a randomly selected person has an IQ
above 118.
Find the IQ score that cuts off the lower 25% of the population
from the upper 75%.
Find the probability...

IQ scores are normally distributed with a mean of 110 and a
standard deviation of 16. Find the probability a randomly selected
person has an IQ score greater than 115.

The mean of a normally distributed data set is 112, and the
standard deviation is 18.
a) Use the Empirical Rule to find the probability
that a randomly-selected data value is greater than 130.
b) Use the Empirical Rule to find the probability
that a randomly-selected data value is greater than 148.
A psychologist wants to estimate the proportion of people in a
population with IQ scores between 85 and 130. The IQ scores of this
population are normally distributed...

IQ is normally distributed with mean 100 and standard deviation
15. An IQ of 130 or above is considered gifted, and 150 and above
is considered genius. There are 350 million people living in the
United States.
1. Let X be the IQ of a person randomly selected from the
population. Compute Var(X^2). (Use binomial expansion!)

According to an article in American Scientist, IQ scores are
normally distributed with a mean of 100 and a standard deviation of
15. Find the following probabilities:
a) The probability that a randomly selected person has an IQ
score of at least 111.
b) The probability that a randomly selected person has an IQ of
less than 96.
c) The probability that a randomly selected person has an IQ
score between 119 and 145.
(Please show all work.)

13. Adult IQ scores are normally distributed with a mean of 100
and a standard deviation of 15. Find the probability that a
randomly chosen adult has an IQ between 70 and 115.

Assume that adults have IQ scores that are normally distributed
with a mean of 100 and a standard deviation of 15. For a randomly
selected adult, find the probability. Round scores to nearest whole
number.
1.) Prob. of IQ less than 85
2.)Prob. of IQ greater than 70
3.) Prob. of randomly selected adult having IQ between 90 and
110.

IQ scores are Normally distributed with mean 100 and standard
deviation 15. Please show working
1- Find the probability that an IQ result is between 75 and
95.
2- Find the probability of having an IQ greater than 120.
3- how high would you IQ have to be to be in the top 2% of all
IQ results.

IQs are known to be normally distributed with mean 100 and
standard deviation 15. In a random sample of 37 people, find the
probability that the average IQ is between 96 and 103.

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