Dr. Demo surveyed her 30-person 3rd block class to see how many students played an instrument, how many played a sport, how many did both, and how many did neither. The results are shown in the figure below.
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Question 1
1.
Based on the data, if a student is selected at random from the class, what is the probability they play a sport?
Enter your answer as a percentage, to two decimal places. Do not include the "%".
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Question 2
2.
Based on the data, if a student is selected at random from the class, what is the probability they play a sport and an instrument?
Enter your answer as a percentage, to two decimal places. Do not include the "%".
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The Human Society has some cats and dogs available for adoption. Some cats are kittens and some cats have golden eyes. The numbers of each type of animal is given in the figure below.
Kittens and cats are both felines; kittens are a kind of cat.
The total number of animals is 30.
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Question 6
6.
If Yvonne asks for a random animal, what is the probability she will get a dog?
Enter your answer as a percentage, to two decimal places. Do not include the "%".
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Question 7
7.
If Yvonne asks for a random feline, what is the probability she will get a feline with golden eyes?
Enter your answer as a percentage, to two decimal places. Do not include the "%".
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The figure below represents a population. The population can have trait 1, trait 2, or both.
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Question 14
14.
In a survey of students, 45% were seniors and 55% were juniors. Of the seniors, 60% had seen a live concert. If a student is selected at random, what is the probability that the student is a senior and has seen a live concert?
(Hint: pretend there is 100 people in the school.)
Use the data in the table to answer the following questions.
Food Donated to the Food Drive
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Question 15
15.
If a can is selected at random, what is the percent probability that the can will contain chili?
Give your answer as a two-digit integer.
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Use the data in the table to answer the following questions.
Office Exercise Habits
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Question 18
18.
If an office member is selected at random, what is the probability that they are a female and exercise? Give your answer as a percentage.
Give your answer as a two-digit integer.
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Question 21
21.
Give an example of a real-world situation that involves conditional probability. Include what the population/sample space is, what two events are involved, and how you expect the conditional probability to work (does one event make the other more likely, or less likely?).
Write your answer in standard English sentences. You will receive points for each of the three parts asked for.
Question 3
3.
Based on the data, if a student is selected at random from the class, what is the probability they play a sport or play an instrument?
Enter your answer as a percentage, to two decimal places. Do not include the "%".
Question 4
4.
Based on the data, if a student is selected at random from the class, what is the probability they do not play a sport?
Enter your answer as a percentage, to two decimal places. Do not include the "%".
Question 5
5.
Given that a student plays an instrument, what is the probability that they also play a sport?
Enter your answer as a percentage, to two decimal places. Do not include the "%".
Question 8
8.
If Yvonne asks for a random animal, what is the probability that she will get a kitten with golden eyes?
Enter your answer as a percentage, to two decimal places. Do not include the "%".
Question 9
9.
If Yvonne asks for a random feline, what is the probability that she will get a kitten with golden eyes?
Enter your answer as a percentage, to two decimal places. Do not include the "%".
Question 10
10.
If Yvonne asks for a random animal, what is the probability that the animal will not have golden eyes?
Enter your answer as a percentage, to two decimal places. Do not include the "%".
Question 11
11.
Which area best describes the portion of the population with both traits?
Question 12
12.
Which area best describes the portion of the population with either Trait 1 or Trait 2?
Question 13
13.
Which area best describes the portion of the population with only trait 1, not trait 2?
Question 16
16.
Which are true based on the data?
Question 17
17.
Are the type of food and can size independent or dependent events?
Question 19
19.
Which are true based on the data?
Question 20
20.
Are the gender and exercise habits independent or dependent events?