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.

Desmond wants to sell his car that he paid $8,000 for 2 years ago. the car depreciated, or decreased in value, at a constant rate each month over a 2-year period. if x represents the monthly depreciation amount, which expression shows how much desmond can sell his car for today? 8,000 + 24x 8,000 − 24x 8,000 + 2x 8,000 − 2x

Ineed to know how to write question one in mathematical terms

Astandard deck of cards contains 52 cards. one card is selected from the deck. (a) compute the probability of randomly selecting a diamond or heart. (type an integer or a decimal rounded to three decimal places as needed.) (b) compute the probability of randomly selecting a diamond or heart or club. (type an integer or a decimal rounded to three decimal places as needed.) (c) compute the probability of randomly selecting queen or club. (type an integer or a decimal rounded to three decimal places as needed.)