WCU Probability and Tree Diagram Exam Practice Please answer the statistics word problems attached below. Please show work where neccessary. Hand written a
WCU Probability and Tree Diagram Exam Practice Please answer the statistics word problems attached below. Please show work where neccessary. Hand written answers are ok. Please draw the diagrams clearly PTC is a compound that has a strong bitter taste for some people
and is tasteless for others. The ability to taste this compound is an
inherited trait. Many studies have assessed the proportions of
people in different populations who can taste PTC. The following
table gives results for samples from several countries.
Final answers should be rounded to four numbers after the
decimal place.
Ireland Portugal Norway
Italy
Total
Tasters
558
345
185
402
1490
Non225
109
81
134
549
Tasters
Total
783
454
266
536
2039
Question 1
1 pts
What is the probability a randomly selected person from this
survey is from Ireland?
Ireland
Tasters
NonTasters
Total
Portugal
Norway
Italy
Total
558
345
185
402
1490
225
109
81
134
549
783
454
266
536
2039
Question 2
1 pts
What is the probability a person is a non-taster?
Ireland
Tasters
558
Portugal
345
Norway
185
Italy
402
Total
1490
NonTasters
Total
225
109
81
134
549
783
454
266
536
2039
Question 3
1 pts
What is the probability a person is from Italy or they are a taster?
Ireland
Tasters
NonTasters
Total
Portugal
Norway
Italy
Total
558
345
185
402
1490
225
109
81
134
549
783
454
266
536
2039
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Question 4
1 pts
What is the probability a person is from Italy and Ireland?
Ireland
Tasters
NonTasters
Total
Portugal
Norway
Italy
Total
558
345
185
402
1490
225
109
81
134
549
783
454
266
536
2039
Question 5
1 pts
What is the probability a person is from Norway or they are a nontaster?
Ireland
Tasters
NonTasters
Total
Portugal
Norway
Italy
Total
558
345
185
402
1490
225
109
81
134
549
783
454
266
536
2039
Question 6
1 pts
What is the probability a person is from Portugal or Norway?
Ireland
Tasters
NonTasters
Total
Portugal
Norway
Italy
Total
558
345
185
402
1490
225
109
81
134
549
783
454
266
536
2039
Question 7
1 pts
What is the probability someone is a taster given that they are
from Norway?
Ireland
Tasters
558
Portugal
345
Norway
185
Italy
402
Total
1490
NonTasters
Total
225
109
81
134
549
783
454
266
536
2039
Question 8
1 pts
What is the probability someone is from Ireland if they are a nontaster?
Ireland
Tasters
NonTasters
Total
Portugal
Norway
Italy
Total
558
345
185
402
1490
225
109
81
134
549
783
454
266
536
2039
Instructions
Use the word problem to create a tree diagram. Once created use
the tree diagram to solve for the probabilities. You will submit a
photo of your tree diagram. Probabilities will be entered into the
blanks.
Final answers should be rounded to four numbers after the
decimal place.
Question 1
1 pts
Dr. Carey has two bottles of sample pills on his desk for the
treatment of arthritic pain. He often grabs a bottle without
looking and takes the medicine. Since the first bottle is
closer to him, the chances of grabbing it are 60%. He knows
the medicine from this bottle relieves the pain 72% of the
time while the medicine in the second bottle relieves the pain
94% of the time.
A. Create a tree diagram from the word problem. Remember
to label all branches and calculate final probabilities. Take a
picture when completed and submit below.
Question 2
1 pts
Using your tree diagram answer the following probability.
B. What is the probability that Dr. Careys pain was not
relieved?
Question 3
1 pts
Using your tree diagram answer the following probability.
C. What is the probability that Dr. Carey grabbed the first
bottle given his pain was not relieved?
Question 4
1 pts
Using your tree diagram answer the following probability.
D. If his pain was relieved, what is the probability that Dr.
Carey grabbed the second bottle?
Question 5
1 pts
Using your tree diagram answer the following probability.
E. What is the probability his pain was relieved and he
grabbed the first bottle?
Question 6
1 pts
Using your tree diagram answer the following probability.
F. What is the probability that his pain was relieved or he
grabbed the first bottle?
Instructions
Use the word problem to create a tree diagram. Once created use
the tree diagram to solve for the probabilities. Probabilities will be
entered into the blanks.
Final answers should be rounded to four numbers after the
decimal place.
62% of all teens are bored during the quarantine. Of those
who are bored, 26% are introverts. Of those who are not
bored, 84% are introverts. (Note: the opposite of an introvert
is an extrovert.)
A. Create a tree diagram from the word problem. Remember
to label all branches and calculate final probabilities.
Question 1
1 pts
Using your tree diagram answer the following probability.
B. What is the probability a randomly selected teen is an
introvert?
Question 2
1 pts
Using your tree diagram answer the following probability.
C. If a teen is an introvert, what is the probability they are
also bored?
Question 3
1 pts
Using your tree diagram answer the following probability.
D. What is the probability a teen is not bored given that they
are an extrovert?
Question 4
1 pts
Using your tree diagram answer the following probability.
E. What is the probability a teen is an extrovert or not bored?
Question 5
1 pts
Using your tree diagram answer the following probability.
F. What is the probability a teen is bored and an extrovert?
Instructions
Use the word problem to create a tree diagram. Once created use
the tree diagram to solve for the probabilities. Probabilities will be
entered into the blanks.
Final answers should be rounded to four numbers after the
decimal place.
93% of all dogs like to go on walks. If a dog likes to go on
walks, there is a 28% chance they are a puppy. If a dog does
not like to go on walks, there is an 11% chance they are a
puppy.
A. Create a tree diagram from the word problem. Remember
to label all branches and calculate final probabilities.
Question 1
1 pts
Using your tree diagram answer the following probability.
B. What is the probability a randomly selected dog is a
puppy?
Question 2
1 pts
Using your tree diagram answer the following probability.
C. What is the probability a dog is a puppy or likes to go on
walks?
Question 3
1 pts
Using your tree diagram answer the following probability.
D. What is the probability that a dog likes to go on walks
given that they are a puppy?
Question 4
1 pts
Using your tree diagram answer the following probability.
E. If a dog is not a puppy, what is the probability they like to
go on walks?
Question 5
1 pts
Using your tree diagram answer the following probability.
F. What is the probability a dog likes to go on walks and they
are a puppy?
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