1) Random variable X has poisson distribution with mean lambda=3.2. Determine the mode of X
2) X is the loss random variable with the density function f(x)=1/4*e^(-x/4). Z is the portion of the loss not covered by 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. Compute Var(XZ)