Let XE {-1,0, 1} . That is, X is a discrete random variable only takes three values -1, 0, and 1. Suppose the equality for Chebyshev's inequality holds for X and P(X = 0) = 0.3 , find P(X = 1) Let X be a random variable with probability density 5 f(x) = for x 2 1 and O else. Use Chebyshev's inequality to bound P(X > 2.5) . Round your answer to 3 decimal places.

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Let
XE {-1,0, 1}
. That is, X is a discrete random variable only takes three values -1, 0, and 1. Suppose
the equality for Chebyshev's inequality holds for X and
P(X = 0) = 0.3
, find
P(X = 1)
Let X be a random variable with probability density
f(x) =
x6
for
x > 1
and O else. Use Chebyshev's inequality to bound
P(X > 2.5)
. Round your answer to 3 decimal places.
Transcribed Image Text:Let XE {-1,0, 1} . That is, X is a discrete random variable only takes three values -1, 0, and 1. Suppose the equality for Chebyshev's inequality holds for X and P(X = 0) = 0.3 , find P(X = 1) Let X be a random variable with probability density f(x) = x6 for x > 1 and O else. Use Chebyshev's inequality to bound P(X > 2.5) . Round your answer to 3 decimal places.
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