1. The cumulative distribution function of Z, ().

2. The probability density function of Z, ().

3. In both cases detail the domain over which the functions are defined.

Use an RMD document and give the two functions in Latex with the work a picture of your handwriting included using!(){} then knit to HTML.

Suppose that X and Y are independent and: fx(z)=ae , x>0 friy)=8e, y>0 Further: _ X Z=5 Calculation Your job will be to find the following: 1. The cumulative distribution function of Z, Fiz(z). 2. The probability density function of Z, fz(z). 3. In both cases detail the domain over which the functions are defined. Use an RMD document and give the two functions in Latex with the work a picture of your handwriting included using!(){} then knit to HTML