Question:
Let X be a random variable with the moment generating function
\(M(t)=\frac{1}{(1-4t)^5},t \lt\frac{1}{4}.\)
Then the lower bounds for P(X < 40), using Chebyshev’s inequality and Markov’s inequality, respectively, are
Let X be a random variable with the moment generating function
\(M(t)=\frac{1}{(1-4t)^5},t \lt\frac{1}{4}.\)
Then the lower bounds for P(X < 40), using Chebyshev’s inequality and Markov’s inequality, respectively, are
\(M(t)=\frac{1}{(1-4t)^5},t \lt\frac{1}{4}.\)
Then the lower bounds for P(X < 40), using Chebyshev’s inequality and Markov’s inequality, respectively, are
Updated On: Oct 1, 2024
- \(\frac{4}{5}\) and \(\frac{1}{2}\)
- \(\frac{5}{6}\) and \(\frac{1}{2}\)
- \(\frac{4}{5}\) and \(\frac{5}{6}\)
- \(\frac{5}{6}\) and \(\frac{5}{6}\)
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The Correct Option is A
Solution and Explanation
The correct option is (A) : \(\frac{4}{5}\) and \(\frac{1}{2}\).
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