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11.03.2020 •
Mathematics
Three fair dice are rolled at once. Let X denote the number of dice that land with the same number of dots on top as at least one other die. The probability distribution for X is x 0 u 3 P ( x ) p 15 36 1 36 Find the missing value u of X. Find the missing probability p. Compute the mean of X. Compute the standard deviation of X.
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Ответ:
can be any of 0, 2, or 3, which is to say the value of the dice are all different, 2 of them match, or all 3 are the same. So .
For any probability density, the probabilities of all possible outcomes must sum to 1. This means
The mean/expectation of is
The variance of is
where the second moment is
Then the standard deviation is the square root of the variance:
Ответ:
same lol
u getting ps5?