1) Random variable X has a poisson distribution with mean
lambda=3.2. Find the mode of X
2) X is the loss random variable with density function
f(x)=1/4*e^(-x/4). Z is the portion of the loss not covered by the
insurance. Z is equal to 1 with probability of 0.4 and equal to
zero with probability of 0.6. X and Z are independent. Calculate
Var(XZ)





