(All Steps) A dealer’s profit in units of $5,000 on a new automobile is a random variable having a density function f(x)=2(1-x) for xin [ 0,1 ]. Find the
Question: A dealer’s profit in units of $5,000 on a new automobile is a random variable having a density function
\[f\left( x \right)=2\left( 1-x \right)\]for \(x\in \left[ 0,1 \right]\).
- Find the variance in the dealer’s profit
- Demonstrate that Chebyshev’s inequality hold for k = 2 with the density function above
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What is the probability that the profit exceeds $500?
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