Question:
Let π be a random variable having the probability density function
\(f(x) =\begin{cases} \frac{5}{x^6}, & \quad \text{if }x>1,\\ 0, & \quad Otherwise. \end{cases}\)
Then, which of the following statements is/are TRUE for the distribution of π ?
Let π be a random variable having the probability density function
\(f(x) =\begin{cases} \frac{5}{x^6}, & \quad \text{if }x>1,\\ 0, & \quad Otherwise. \end{cases}\)
Then, which of the following statements is/are TRUE for the distribution of π ?
\(f(x) =\begin{cases} \frac{5}{x^6}, & \quad \text{if }x>1,\\ 0, & \quad Otherwise. \end{cases}\)
Then, which of the following statements is/are TRUE for the distribution of π ?
Updated On: Oct 1, 2024
- The coefficient of variation is \(\frac{4}{\sqrt15}\)
- The first quartile is \((\frac{3}{4})^{\frac{1}{5}}\)
- The median is \((2)^{\frac{1}{5}}\)
- The upper bound obtained by Chebyshevβs inequality for \(p(Xβ₯\frac{5}{2})\) is \(\frac{1}{15}\)
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The Correct Option is C, D
Solution and Explanation
The correct options are: C and D
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