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What is the probability of x being no more than a?

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Final answer:

The probability of x being no more than a involves calculating the cumulative distribution, which can apply to various probability distributions such as Poisson or geometric.

Step-by-step explanation:

The probability of x being no more than a can be understood as calculating the cumulative distribution up to the value of a. For example, if we have a Poisson distribution with a mean λ = 3, and we want to find P(x ≤ 3), we would calculate the sum of probabilities for x values 0 up to 3. Similarly, in the context of geometric random variables, if X represents the number of games played until a loss and the probability of losing a game is p= 0.57, then the probability distribution for X can be used to find the probability of playing a certain number of games until a loss.

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