The random variable X has probability density function: f(x) = ke^(−x) 0 ≤ x ≤ ln...

The random variable X has probability density function: f(x) = ke^(−x) 0 ≤ x ≤ ln (5/4) 0 otherwise Part a: Determine the value of k. Part b: Find F(x), the cumulative distribution function of X. Part c: Find E[X]. Part d: Find the variance and standard deviation of X. All work must be shown for this question.

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orchestra answered 2 years ago

1. The random variable X has probability density function: f(x) = ( ke−x 0 ≤ x...

1. The random variable X has probability density function: f(x) = ( ke−x 0 ≤ x ≤ ln 5 4 0 otherwise Part a: Determine the value of k. Part b: Find F(x), the cumulative distribution function of X. Part c: Find E[X]. Part d: Find the variance and standard deviation of X. All work must be shown for this question. R-Studio should not be used.

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The random variable X has probability density function: f(x) = ke^(−x) 0 ≤ x ≤ ln...

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