Question

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

Short answer

Then answer of cumulative distribution function is$\left(1-e^{-0.75x}\right)$

Step-by-step solution

Step 1:  Theory of cumulative distribution function 

Cumulative distribution function : Cumulative distribution function indicate the probability variables which value is less than X .

Formula of cumulative distribution function 

As $X~e^{0.75}$

Probability of cumulative distribution function islocalid="1648209243750" $P(x<X)=1-e^{-mx}$

m= 0.75

Therefore,localid="1648209217370" $P(x<X)=1-e^{-0.75x}$$1-e^{-0.75x}$