Question

**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 place****What
is the minimum height you could be to be considered in the top 10%
of tallest men?

**C)** Liam is a professional darts player who can
throw a bullseye 70% of the time.

If he throws a dart 250 times, what is the probability he hits a
bulls eye:

***No more than 170 times?**

***between 155 and 185 times (including 155 and
185)?**

Use the Normal Approximation to the Binomial distribution to answer
this question.

Answer #1

Liam is a professional darts player who can throw a bullseye 70%
of the time.
If he throws a dart 250 times, what is the probability he hits a
bulls eye:
a.) At least 190 times?
b.) No more than 180 times?
c.) between 150 and 185 times (including 150 and 185)?

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 height of men is a normally distrubuted variable with a mean
of 67 inches and a standard deviation of 2.8 inches.
**Round answers to ONE decimal place**
a.) What is the minimum height you could be to be
considered in the top 15% of tallest men?
b.) What is the tallest you could be to be
considered in the shortest 20% of men?

IQ scores are normally distributed
with mean of 100 and a standard deviation of 15.
If MENSA only accepts people with an IQ score at the
99th percentile or higher, what is the lowest possible
IQ score you can have and still be admitted to the
organization?
Mental disability has traditionally been diagnosed for anyone
with an IQ of 70 or lower. By this standard, what proportion of the
population would meet criteria to be diagnosed with a mental
disability?...

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.

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
_____...

A survey found that women's heights are normally distributed
with mean 62.3 in. and standard deviation 2.8 in. The survey also
found that men's heights are normally distributed with mean 67.9
in. and standard deviation 3.9 in. Most of the live characters
employed at an amusement park have height requirements of a minimum
of 57 in. and a maximum of 63 in.
a. Find the percentage of men meeting the height
requirement.
- The percentage of men who meet the...

IQ test scores are normally distributed with a mean of 100 and a
standard deviation of 15.
a) Find the IQ scores that represent the bottom 35%
. b) Find the IQ score that represents the 3rd Quartile
c) Find the IQ score for the top 5%

IQ
scores are normally distributed with a mean of 100 and a standard
deviation of 15. Determine the 90th percentile for IQ scores

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...

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