Question

**Using excel and the functions**

IQ is normally distributed with a mean of 100 and a standard
deviation of 15. Suppose one individual is randomly chosen. Let
*X* = IQ of an individual.

*X*~ _____(_____,_____)- Find the probability that the person has an IQ greater than 120. Include a sketch of the graph, and write a probability statement.
- MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the MENSA organization. Sketch the graph, and write the probability statement.
- The middle 50% of IQs fall between what two values? Sketch the graph and write the probability statement.

Answer #1

Here

Here we need to find

As distribution is normal we can convert x to z

Here we need to find x such that

Using z table we get

So

Hence

Now we need to find x1 and x2 such that

Using z table we get

So

And

A) IQ is normally distributed with a mean of
100 and a standard deviation of 15
Suppose an individual is chosen at random:
MENSA is an organization whose members have IQs in the top 3%. What
is the minimum IQ you would need to qualify for membership? (round
to nearest whole number)
B) The height of men is a normally distrubuted
variable with a mean of 68 inches and a standard deviation of 3
inches. **Round answers to ONE decimal...

IQ is normally distributed with a mean of 100 and a standard
deviation of 15.
a) Suppose one individual is randomly chosen. Find the
probability that this person has an IQ greater than 95. Write your
answer in percent form. Round to the nearest tenth of a percent.
P(IQ greater than 95) =
b) Suppose one individual is randomly chosen. Find the
probability that this person has an IQ less than 125. Write your
answer in percent form. Round to...

IQ is normally distributed with a mean of 100 and a standard
deviation of 15.
a) Suppose one individual is randomly chosen. Find the
probability that this person has an IQ greater than 95.
Write your answer in percent form. Round to the nearest
tenth of a percent.
PP(IQ greater than 95) = %
b) Suppose one individual is randomly chosen. Find the
probability that this person has an IQ less than 125.
Write your answer in percent form. Round...

IQ scores are normally distributed and you know the mean and
standard deviation of these scores. Mensa is organization for
people with very high levels of intelligence. Mensa accepts as
members anyone whose IQ score falls in the top 2% of all people.
Your IQ score is 130 and you want to do an analysis to find out if
you are eligible. You would need to do a _____ analysis. (Choose
1)
_____ a. z-score and the normal curve
_____...

using excel and it's functions
Suppose that the distance of fly balls hit to the outfield (in
baseball) is normally distributed with a mean of 250 feet and a
standard deviation of 50 feet.
If X = distance in feet for a fly ball, then
X ~ _____(_____,_____)
If one fly ball is randomly chosen from this distribution, what
is the probability that this ball traveled fewer than 220 feet?
Sketch the graph. Scale the horizontal axis X. Shade the...

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...

6. Assume that adults have IQ scores that are normally
distributed with mean 100 and standard deviation 15. In each case,
draw the graph (optional), then find the probability of the given
scores. ROUND YOUR ANSWERS TO 4 DECIMAL PLACES
a. Find the probability of selecting a subject whose score is
less than 115. __________
b. Find the probability of selecting a subject whose score is
greater than 131.5. __________
c. Find the probability of selecting a subject whose score...

A) 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 between 90
and 120. (Provide graphing calculator sequence)
B) Assume that adults have IQ scores that are normally
distributed with a mean of 100 and a standard of 15. Find P3D,
which is the IQ score separating the bottom 30% from the top 70%.
(Provide graphing calculator...

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 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.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 25 minutes ago

asked 25 minutes ago

asked 53 minutes ago

asked 53 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago