Consider the following exponential probability density function.\[ f(x) = \frac{1}{5} e^{-\frac{x}{5}} \quad \text{for} \quad x \geq 0 \]a. Which of the following is the formula for \( P(x \leq x_0) \)?1. \( P(x \leq x_0) = e^{-\frac{x_0}{5}} \)2. \( P(x \leq x_0) = 1 - e^{-\frac{x_0}{5}} \)3. \( P(x \leq x_0) = 1 - e^{-x_0} \)- Select your answer -b. Find \( P(x \leq 2) \) (to 4 decimals).[Input Box]c. Find \( P(x \geq 4) \) (to 4 decimals).[Input Box]d. Find \( P(x \leq 5) \) (to 4 decimals).[Input Box]e. Find \( P(2 \leq x \leq 5) \) (to 4 decimals).[Input Box]

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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onsider the following exponential probability density function. 1 f(2) = =e for x > 0 5 - Which of the following is the formula for P(x < xo)? - P(z < z0) = e 2 P(z< z0) = 1- e? 3 P(x < xo) = 1-e-0 %3D - Select your answer - v . Find P(x < 2) (to 4 decimals). . Find P(x 2 4) (to 4 decimals).