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Q42Section C (Section C)42 of 60

Chebyshev upper bound for a triangular density

Let XX be a continuous random variable with the probability density function

f(x)={2x9,0<x<3, 0,otherwise.f(x)=\begin{cases}\frac{2x}9, & 0<x<3,\ 0, & \text{otherwise.}\end{cases}

Then the upper bound of P(∣X−2∣>1)P(|X-2|>1) using Chebyshev's inequality is ________________

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