Expected Value Practice
Flashcard
•
Mathematics
•
University
•
Practice Problem
•
Hard
+4
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the expected value of a random variable?
Back
The expected value (EV) is a measure of the center of a probability distribution, calculated as the sum of all possible values of the random variable, each multiplied by its probability.
Tags
CCSS.HSS.MD.A.2
2.
FLASHCARD QUESTION
Front
How do you calculate the expected value from a probability distribution table?
Back
Multiply each value of the random variable by its corresponding probability and sum the results.
Tags
CCSS.HSS.MD.A.2
3.
FLASHCARD QUESTION
Front
Given the probability model: X = {50, 20, 5} and P(X) = {0.1, 0.3, 0.6}, what is the expected value?
Back
EV = (50 * 0.1) + (20 * 0.3) + (5 * 0.6) = 14.
Tags
CCSS.HSS.MD.A.2
4.
FLASHCARD QUESTION
Front
What is the expected number of children in a household if 30% have 1 child, 43% have 2 children, and 27% have 3 children?
Back
EV = (1 * 0.3) + (2 * 0.43) + (3 * 0.27) = 1.97.
Tags
CCSS.HSS.MD.A.2
5.
FLASHCARD QUESTION
Front
What is a probability distribution?
Back
A probability distribution is a function that describes the likelihood of obtaining the possible values that a random variable can take.
Tags
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.4
6.
FLASHCARD QUESTION
Front
What are the conditions for a valid probability distribution?
Back
1. All probabilities must be between 0 and 1. 2. The sum of all probabilities must equal 1.
Tags
CCSS.7.SP.C.7B
7.
FLASHCARD QUESTION
Front
Is the following a valid probability distribution? P(X) = {0.2, 0.5, 0.3}
Back
Yes, because all probabilities are between 0 and 1 and their sum equals 1.
Tags
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.4
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