MD.4.S.1
(+) Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions.
Example Problems
A fair six-sided die is rolled 9 times. Let = the number of times a appears.
What is the probability that the die shows a exactly times?
Round your answer to the nearest hundredth.
What is the probability that the die shows a exactly times?
Round your answer to the nearest hundredth.
Riley waits at a bus stop and counts how many buses arrive in a short window. Here is the partially completed probability distribution of B.
Find the missing probability in the table.
| B | |
|---|---|
| 0 | 0.18 |
| 1 | 0.46 |
| 2 | 0.27 |
| 3 | ? |
Find the missing probability in the table.
A city researcher randomly samples 50 households. Each household independently has a 70% chance of having at least one pet. Let represent the number of households with pets in the sample of 50.
Find the mean of .
Find the mean of .
Khan Academy ResourcesInterpret expected valueDevelop probability distributions: Empirical probabilitiesProbability with discrete random variablesGraph probability distributionsDevelop probability distributions: Theoretical probabilitiesMean (expected value) of a discrete random variableValid discrete probability distribution examplesProbability with discrete random variable exampleInterpreting expected valueTheoretical probability distribution example: tablesConstructing a probability distribution for random variableMean (expected value) of a discrete random variableTheoretical probability distribution example: multiplicationProbability distributions from empirical data
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