Question

Based on a study, It was determined that eye colors in the United States are distributed: 40% brown, 35% blue, 12% green, 7% grey, 6% hazel.

If three people are selected, what is the probability the first person will have blue eyes, the second person will have green eyes, and the third person will have grey eyes?

Answer #1

Probability of a person with brown eyes = 40% = 0.40

Probability of a person with blue eyes = 35% = 0.35

Probability of a person with green eyes = 12% = 0.12

Probability of a person with grey eyes = 7% = 0.07

Probability of a person with hazel eyes = 6% = 0.06

Probability the first person will have blue eyes, the second person will have green eyes, and the third person will have grey eyes

= Probability of a person with blue eyes * Probability of a person with green eyes * Probability of a person with grey eyes

= 0.35 * 0.12 * 0.07

= **0.0029 = 0.29 %**

Use the following information: Based on a study by Dr.
P. Sorita Soni at Indiana University, we know that eye colors in
the United States are distributed as follows: 40% brown, 35% blue,
12% green, 7% gray, and 6% hazel.
Professor Kays collects eye color data from his
students. What type of sample is this?
(1) Stratified (2) Random (3) Convenience (4)
Cluster
Identify one factor that might make this particular
sample biased and not representative of the general population...

Here are records of
eye color for a random sample of 103 individuals for Eye color vs
number of individuals.
Eye color
# of
individuals
blue
21
green
7
hazel
23
brown
47
other
5
a. This data set is best represented graphically
in _________
b. What percentage of
individuals have hazel or brown eyes?
Have the answer in
format ##.##%
c. What is the degree
measure for blue eye color

28. From the below cross classification showing the frequencies
of hair and eye color of a group of staff at ABC company, and
answer the following questions (a-d).
Eye Color
Hair Color
Brown
Blue
Green
Hazel
Total
Blond
30
20
7
3
60
Brown
74
28
10
7
119
Red/Auburn
17
15
5
4
41
Black
43
11
5
1
60
Total
164
72
27
14
280
a)The probability that a
staff will have blue eyes given he/she is
blond....

2.20 Assortative mating: Assortative mating is
a nonrandom mating pattern where individuals with similar genotypes
and/or phenotypes mate with one another more frequently than what
would be expected under a random mating pattern. Researchers
studying this topic collected data on eye colors of 217
Scandinavian men and their female partners. The table below
summarizes the results (rows represent male eye color while columns
represent female eye color). For simplicity, we only include
heterosexual relationships in this exercise.
(please round any...

Assortative Mating: Assortative mating is a nonrandom
mating pattern where individuals with similar genotypes and/or
phenotypes mate with one another more frequently than what would be
expected under a random mating pattern. Researchers studying this
topic collected data on eye colors of 203 Scandinavian men and
their female partners. The table below summarizes the results (rows
represent male eye color while columns represent female eye color).
For simplicity, we only include heterosexual relationships in this
exercise.
(Round any numerical answers to...

A. When a person is selected at random from a very large
population, the probability that the selected person has brown eyes
is 0.62. If 4 people are selected at random, find the following
probabilities :
1. they all have brown eyes
2. none of them have brown eyes
B. In a study of sandhill cranes, the distance traveled in one
day is normally distributed, with a mean of 267 kilometers and a
standard deviation of 86 km. Find the...

Based on a science society study, there is a 0.9 probability
that in the United States, a randomly selected dollar bill is
tainted with traces of cocaine. Assume that eight dollar bills are
randomly selected. Use calculator or technology to solve the
following questions and make sure you apply round-off rule
correctly:
(a) Find the probability that all of them have traces of
cocaine.
(b) Find the probability that exactly seven of them have traces
of cocaine.
(c) Find the...

. Eye color of the Oriental fruit fly (Bactrocera
dorsalis) is determined by two genes that
interact. A true-breeding fly having wild-type eyes is
crossed with a true-breeding fly having yellow eyes. All
of the F1 flies from this cross have wild-type
eyes. When the F1 flies are interbred, 394 of
the F2 progeny have wild-type eyes, 131 have amethyst (a
bright, sparkling blue color) eyes and 175 have yellow eyes.
a). Based on the number of progeny produced in the
cross between F1 flies,...

A snack has 12 pieces of candy, 1 b, 1 y, 3 g, 2 r, 2 o, 3 br. A
person pours the candies randomly on their plate, in line. (a)
what's the probability the colors remain in line? (b) if a million
people where to complete the same random pour task, what is the
expected number of people whole have all their colors togethers in
line?
b - blue
g - green
y - yellow
o - orange
r...

9.98. Consider the data of Exercise 9.92. Suppose a person from
the continental united states does not have broadband access from
home. What is the probability that the person lives in the
southeast?
Exercise 9.92. The population of the continental united states
is distributed as follows: 40% in the north east, 10% in northwest,
30% in the southwest, and 20% in the southeast. The population with
broadband access from home is distributed as follows: 85% in the
northeast have access,...

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