*3. The owner of a newspaper stand receives 50 copies of Ai Ahram newspaper every morning.

ll1e number of copies sold daily, X, varies randomly according to the following probability distribution:

{

-ls, x = 35, 36, , 49 p(x) = f'x: 50,51, ,59 33'X - 60,61, ,70

(a) Determine the probability that the owner will sell out completely.

(b) Determine the expected number of unsold copies per day.

(c) If the owner pays 50 cents a copy and sells it for $1.00. Determine the owner's expected net income per day.