The probability density function F(x) = ae^-b|x|, where x is a random variable whose allowable value range is from x = -∞ to x = +∞. The CDF for this function for x ≥ 0 is

A) $$\frac{a}{b}{e^{bx}}$$ B) $$\frac{a}{b}\left( {2 - {e^{ - bx}}} \right)$$ C) $$ - \frac{a}{b}{e^{bx}}$$ D) $$ - \frac{a}{b}\left( {2 + {e^{ - bx}}} \right)$$

Answer & Solution

Correct Answer: Option B

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The probability density function F(x) = ae-b x where x is...

The probability density function F(x) = ae-b|x|, where x is a random variable whose allowable value range is from x = -∞ to x = +∞. The CDF for this function for x ≥ 0 is

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The probability density function F(x) = ae^-b|x|, where x is a random variable whose allowable value range is from x = -∞ to x = +∞. The CDF for this function for x ≥ 0 is