April Break: Complete the problems below in your notebook!!
DO NOT COPY!! You will get ZEROS and NOT be allowed to make it up!!
Travel
Suppose the probability that a U.S. resident has traveled to Canada is 18%, to Mexico is 9% and to both countries is 4%.
1. Create a Venn diagram displaying the percentages who have traveled to Mexico and/or Canada.
2. What is the probability that an American chosen at random will have traveled to either Mexico or Canada? Show work or explain.
3. What's the probability an American has traveled to Canada, but not Mexico?
4. What is the probability that an American has not traveled to either country. Show work or explain.
5. What's the probability that someone who has traveled to Mexico has visited Canada too? Show work or explain.
6. Are visiting Canada and Mexico Independent Events? Explain.
7. Are visiting Canada and Mexico Disjoint Events? Explain.
Animal Shelter
In its monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. Eight of the dogs and 6 of the cats are male.
1. Create a Venn diagram that represents the animals in the pet shelter.
2. What is the probability that an animal selected at random is a male, given that it is a cat?
3. P(cat/female) =
4. Create a two-way table that displays the animal shelter information, including the totals along the edges of the table.
5. What is the probability that you would choose a pet that is female, if you were only looking at adopting a dog?
6. Is this considered Conditional Probability or Marginal Probability? Explain.
Health Issues
The probabilities that an adult American man has high blood pressure and/or high cholesterol are shown in the table.
Blood Pressure
High
OK
Cholesterol
High
0.11
0.21
OK
0.16
0.52
State each of your answers in a FULL SENTENCE!!
1. What's the probability that a man has both conditions?
2. What is the probability that a man has high blood pressure?
3. What is the probability that a man has at least one of these conditions?
4. What is the probability that a man with high blood pressure has high cholesterol?
5. What is the probability that a man has high blood pressure if it's known that he has high cholesterol?
6. According to the table, are high blood pressure and cholesterol Independent? Explain.
7. Create a Venn diagram that displays this information.
Smoking is Bad
Suppose that 23% of adults smoke cigarettes. It is known that 57% of smokers and 13% of nonsmokers develop a certain lung condition by the age of 60.
1. Explain how these statistics indicate that lung condition and smoking are NOT independent.
2. What's the probability that a randomly selected 60-year-old has this lung condition? This is a challenge, but you need to answer it and explain your thinking in sentences. (I expect a paragraph leading to the answer of this question.) Convince me that you are right.
DO NOT COPY!! You will get ZEROS and NOT be allowed to make it up!!
Travel
Suppose the probability that a U.S. resident has traveled to Canada is 18%, to Mexico is 9% and to both countries is 4%.
1. Create a Venn diagram displaying the percentages who have traveled to Mexico and/or Canada.
2. What is the probability that an American chosen at random will have traveled to either Mexico or Canada? Show work or explain.
3. What's the probability an American has traveled to Canada, but not Mexico?
4. What is the probability that an American has not traveled to either country. Show work or explain.
5. What's the probability that someone who has traveled to Mexico has visited Canada too? Show work or explain.
6. Are visiting Canada and Mexico Independent Events? Explain.
7. Are visiting Canada and Mexico Disjoint Events? Explain.
Animal Shelter
In its monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. Eight of the dogs and 6 of the cats are male.
1. Create a Venn diagram that represents the animals in the pet shelter.
2. What is the probability that an animal selected at random is a male, given that it is a cat?
3. P(cat/female) =
4. Create a two-way table that displays the animal shelter information, including the totals along the edges of the table.
5. What is the probability that you would choose a pet that is female, if you were only looking at adopting a dog?
6. Is this considered Conditional Probability or Marginal Probability? Explain.
Health Issues
The probabilities that an adult American man has high blood pressure and/or high cholesterol are shown in the table.
1. What's the probability that a man has both conditions?
2. What is the probability that a man has high blood pressure?
3. What is the probability that a man has at least one of these conditions?
4. What is the probability that a man with high blood pressure has high cholesterol?
5. What is the probability that a man has high blood pressure if it's known that he has high cholesterol?
6. According to the table, are high blood pressure and cholesterol Independent? Explain.
7. Create a Venn diagram that displays this information.
Smoking is Bad
Suppose that 23% of adults smoke cigarettes. It is known that 57% of smokers and 13% of nonsmokers develop a certain lung condition by the age of 60.
1. Explain how these statistics indicate that lung condition and smoking are NOT independent.
2. What's the probability that a randomly selected 60-year-old has this lung condition? This is a challenge, but you need to answer it and explain your thinking in sentences. (I expect a paragraph leading to the answer of this question.) Convince me that you are right.