(Solved): Chapter 6 Assignment Questions Exercise 06.27 Algo (Exponential Probability Distribution) Consider ...

Chapter 6 Assignment Questions Exercise 06.27 Algo (Exponential Probability Distribution) Consider the following exponential probability density function. $f(x)=\frac{1}{4}{e}^{?\frac{x}{4}}\text{ for }x?0$ a. Which of the following is the formula for $P\left(x?x_0\right)$ ? $1P\left(x?x_0\right)=e^{?\frac{x_0}{4}}$ $2P\left(x?x_0\right)=1?e^{?\frac{x_0}{4}}$ $3P\left(x?x_0\right)=1?e^{?x_0}$ b. Find $P(x?1)$ (to 4 decimals). c. Find $P(x?4)$ (to 4 decimals). d. Find $P(x?5)$ (to 4 decimals).