Review for first half of EngageNY Module 4. Includes two-way tables, conditional probabilities, independence, and z-scores
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Question 1
1.
Organize the following probilities into conditional and not conditional based on the following two-way table
1. Probability that a person gets a hot dog
2. Probability that a person gets no food given they get a soda
3. Probability a person doesn't get a drink
4. If a person has gotten pizza, probability they get water
5. Probability that a person gets both a hot dog and soda
6. A person got water, what is the probability they got pizza
7. Probability a person got a hot dog but no drink
8. Given a person got soda, probability of getting a hot dog
Conditional
Not Conditional
Find the probability for each of the probabilities above
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Question 2
2.
1. Probability that a person gets a hot dog
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Question 3
3.
2. Probability that a person gets no food given they get a soda
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Question 4
4.
3. Probability a person doesn't get a drink
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Question 5
5.
4. If a person has gotten pizza, probability they get water
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Question 6
6.
5. Probability that a person gets both a hot dog and soda
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Question 7
7.
6. A person got water, what is the probability they got pizza
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Question 8
8.
7. Probability a person got a hot dog but no drink
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Question 9
9.
8. Given a person got soda, probability of getting a hot dog
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Question 10
10.
Are getting a hot dog and soda independent? Use conditional probability definition
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Question 11
11.
Are getting a hot dog and soda independent? Use multiplication definition
In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60 students participate in both activities.
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Question 12
12.
Draw a Venn diagram representing this scenario.
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Question 13
13.
What is the probability a student is in band but not sports?
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Question 14
14.
What is the probability a student is in neither?
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Question 15
15.
What is the probability of a student being in band OR sports?
The Welcher Adult Intelligence Test Scale is composed of a number of subtests. On one subtest, the raw scores have a mean of 35 and a standard deviation of 6.
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Question 16
16.
What is the probability of getting a raw score between 28 and 38?
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Question 17
17.
What is the probability of getting a raw score of at least 40?
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Question 18
18.
What is the probability of getting a raw score of at most 28?