Shocks occur to a system according to a Poisson process of intensity λ. Each shock causes some damage to the system, and these damages accumulate. Let N(t) be the number of shocks up to time t, and let Yi bethe damage caused by the i th shock. Then X(t) = Y1+...+YN(t)
is the total damage up to time t. Determine the mean and variance of the total damage at time t when the individual shock damages are exponentially distributed with parameter Θ

The correct option is 4. The domain of the function are all real numbers greater than or equal to –3.

Step-by-step explanation:

Domain is the set of all possible inputs or x-values, for which the given function is defined.

The given graph is defined form -3 to positive infinity. The point -3 included in the set of input because there is a closed circle at x=-3.

So, domain of the function are all real numbers greater than or equal to –3.

Therefore the correct option is 4.