Question

Assume that adults have IQ scores that are normally distributed, with a mean of 107 and a standard deviation of 15. Find the probability that a randomly selected individual has an IQ between 75 and 117.

Answer #1

Let X denote the IQ score of an adult

We are given :

Required probability = Probability that a randomly selected individual has an IQ between 75 and 117 = P(75 < X < 117)

We use Excel function "NORMSDIST()" as :

Hence,

Probability that a randomly selected individual has an IQ
between 75 and 117 = **0.731**

Assume that adults have IQ scores that are normally distributed
with a mean of 200 and a standard deviation of 20. Find the
probability that a randomly selected adult has an IQ between 150
and 175.

Assume that adults have IQ scores that are normally distributed
with a mean of mu equals 100 and a standard deviation sigma equals
20. Find the probability that a randomly selected adult has an IQ
between 85 and 115. The probability that a randomly selected adult
has an IQ between 85 and 115 is:

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.

Assume that adults have IQ scores that are normally distributed
with a mean of 102.9 and a standard deviation of 15.1 Find the
probability that a randomly selected adult has an IQ greater than
119.8

Assume that adults have IQ scores that are normally distributed
with a mean of 104.1 and a standard deviation of 23.6 Find the
probability that a randomly selected adult has an IQ greater than
144.3

Assume that adults have IQ scores that are normally distributed
with a mean of mu equals 105?=105 and a standard deviation sigma
equals 20?=20. Find the probability that a randomly selected adult
has an IQ between 92 and 118.

Assume that adults have IQ scores that are normally distributed
with a mean of 103.3 and a standard deviation of 16.2. Find the
probability that a randomly selected adult has an IQ greater than
127.4. (Hint: Draw a graph.) The probability that a randomly
selected adult from this group has an IQ greater than 127.4 is

For question 10, assume that adults have IQ scores that are
normally distributed with a mean of 100 and a standard deviation of
15. Find the probability that a randomly selected adult has an IQ
of the following: 10. Find the area under the standard normal curve
for the following: • Less than 115. • Greater than 131.5 • Between
90 and 110 • Between 110 and 120

Assume that adults have IQ scores taht are normally distributed
with a mean of 96.2 standard deviation of 22.1. Find the
probability that a randomly selected adult has a IQ greater than
131.8

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.)

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