Question:
Let X be a random variable having the probability density function
\(f(x)=\begin{cases} ax^2+b, & 0 \le x \le 3\\ 0, & \text{otherwise,} \end{cases}\)
where a and b are real constants, and \(P(X \ge 2)=\frac{2}{3}.\)
Then E(X) equals __________ (round off to 2 decimal places)
Let X be a random variable having the probability density function
\(f(x)=\begin{cases} ax^2+b, & 0 \le x \le 3\\ 0, & \text{otherwise,} \end{cases}\)
where a and b are real constants, and \(P(X \ge 2)=\frac{2}{3}.\)
Then E(X) equals __________ (round off to 2 decimal places)
\(f(x)=\begin{cases} ax^2+b, & 0 \le x \le 3\\ 0, & \text{otherwise,} \end{cases}\)
where a and b are real constants, and \(P(X \ge 2)=\frac{2}{3}.\)
Then E(X) equals __________ (round off to 2 decimal places)
Updated On: Oct 1, 2024
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Correct Answer: 2.1
Solution and Explanation
The correct answer is 2.10 to 2.55.(approx)
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