A charity association pays 100 or 200 units when an accident happens to one of its members in order to share the risk.

2/3 of the members tend to choose 100, 1/3 of them 200.

The number of members is 100. The accident rate is 0.01 for each member. All these data are valid for 1 year.

a) Find the distribution function Fs(s) for the total payout, S, for the year.

b) E(S)=? and s=?