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A loaded die has a 50% chance of rolling 2 and a 10% of rolling each of the other numbers, 1, 3, 4, 5, 6. If the random variable X is defined as the number of dots on the top face of the die, what is the mean of its probability distribution?
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@rational
@rational
``` 1 : 0.1 2 : 0.5 3 : 0.1 4 : 0.1 5 : 0.1 6 : 0.1 ```
multiply the values with the corresponding probabilities, then add up
2.9
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