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Omni-MATH / Suppose X is a random variable that takes on only nonnegative integer values, with E[X]=1, E[X²]=2, and E[X³]=5. Determine the smallest possible value of the probability of the eve…

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problem

Suppose XX is a random variable that takes on only nonnegative integer values, with E[X]=1E\left[ X \right] = 1, E[X2]=2E\left[ X^2 \right] = 2, and E[X3]=5E \left[ X^3 \right] = 5. Determine the smallest possible value of the probability of the event X=0X=0.
Plain-text mathematical notation (without MathML)
Suppose X is a random variable that takes on only nonnegative integer values, with E[X]=1, E[X²]=2, and E[X³]=5. Determine the smallest possible value of the probability of the event X=0.
Original LaTeX notation
Suppose $X$ is a random variable that takes on only nonnegative integer values, with $E\left[ X \right] = 1$, $E\left[ X^2 \right] = 2$, and $E \left[ X^3 \right] = 5$. Determine the smallest possible value of the probability of the event $X=0$.

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Source and history

task_id
7e6a92b2-395a-5694-9f37-ebd0153456be
task_key
test--7e6a92b2-395a-5694-9f37-ebd0153456be
task_revision_id
1
config / split
/ test

Official source

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