Question

A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 60 industrial firms. An inspector will visit 10 randomly selected firms to check for violations of regulations.

a. If 24 of the firms are actually violating at least one regulation, what is the pmf of the number of firms visited by the inspector that are in violation of at least one regulation?

Ans: {h(x; 10, 24, 60)}

b. If there are 600 firms in the area, of which 240 are in violation, approximate the pmf of part (a) by a simpler pmf.

Ans: {b(x; 10, 0.4)}

C. For X = the number that are in violation among the 10 visited out of 600 firms, compute E(X) and V(X) both for the exact pmf and the approximating pmf in part (b). (Round your answers to two decimal places.)

Compute E(X) and V(X) for the exact pmf.

E(X) = ______________

V(X) = ______________

Compute E(X) and V(X) for the approximating pmf.

E(X) =______________

V(X) =______________

(I got stuck SOLVE C)

Answer 1