Question:
A continuous random variable \(X\) has the following probability density function:\[ f(x) = \begin{cases} kx^2(1 - x^3), & 0 \leq x \leq 1 \\0, & \text{elsewhere}\end{cases} \]If the mean of \(X\) is 0.64, then the value of \(k\) (rounded off to 2 decimal places) is ________________.
A continuous random variable \(X\) has the following probability density function:\[ f(x) = \begin{cases} kx^2(1 - x^3), & 0 \leq x \leq 1 \\0, & \text{elsewhere}\end{cases} \]If the mean of \(X\) is 0.64, then the value of \(k\) (rounded off to 2 decimal places) is ________________.
Updated On: Jul 20, 2024
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Correct Answer: 5.8
Solution and Explanation
The correct Answe is:5.80 or 6.20 Approx
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