N actuary created a simple model for the amount of damage thatwill be caused by an insured individual in the following year. LetDdenote theamout of damage. She found the expected damage to beE[D] = 600.D01000500010000Pr(D).82.10(a) Find the missing probabilities.(b) Find the standard deviationσD.(c) Find the expected damage given that there is some damage, ie, E[D|D >0].(d) Find the conditional variance of the damage given that there is some damage, ie, V ar[D|D >0.