A discrete random variable X has the following probability mass function: e-44² Pr [X = x] = x! x = 0,1, 2,... %3D Find the probability that X is within 0.5 standard deviations from its mean, inclusive.

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A discrete random variable X has the following probability mass function:
44"
Pr [X = x]
x = 0, 1, 2, ...
x!
Find the probability that X is within 0.5 standard deviations from its mean, inclusive.
Transcribed Image Text:A discrete random variable X has the following probability mass function: 44" Pr [X = x] x = 0, 1, 2, ... x! Find the probability that X is within 0.5 standard deviations from its mean, inclusive.
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