Question

Use the following information to answer the next seven exercises. A distribution is given as $X~Exp(0.75)$. Draw the distribution.

Short answer

The distribution can be drawn as

Step-by-step solution

Definition of random distribution  theory 

As $X~Exp(0.75)$

m= 0.75

f(x) = $0.75e^{-0.75x}$

Now probability density is$\mu =\frac{1}{m}=\frac{1}{0.75}=1.33$

Theory  of random distribution  

For the maximum value of probability density x=0 and f(x) has been seen in y axis

$f\left(0\right)=0.75e^{-0.75\times 0}=0.75=m$