A second-stage smog alert has been called in a certain area ofLos Angeles County in which there are 50 industrial firms. Aninspector will visit 10 randomly selected firms to check forviolations of regulations. a. If 15 of the firms are actually violating at least oneregulation, what is the pmf of the number of firms visited by theinspector that are in violation of at least one regulation?b. If there are 500 firms in the area, of which 150 are inviolation, approximate the pmf of part (a) by a simpler pmf. c. For X=the number among the 10 visited that are inviolation, compute E(X) and V(X) both for the exact pmf and theapproximating pmf in part (b)