A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 80 industrial firms. An inspector will visit 20 randomly selected firms to check for violations of regulations. (a) If 32 of the firms are actually violating at least one regulation, what the pmf f the number of firms visited by the inspector that are in violation of at least one regulation? O nb(x; 20, 32, 80) O h(x; 20, 32, 80) O nb(x; 20, 0.4) Oh(x; 20, 0.4) Ob(x; 20, 0.4) Ob(x; 20, 32, 80) (b) If there are 800 firms in the area, of which 320 are in violation, approximate the pmf of part (a) by a simpler pmf. Oh(x; 20, 0.4) Ob(x; 20, 0.4) Oh(x; 20, 320, 800) Onb(x; 20, 0.4) O nb(x; 20, 320, 800) O b(x; 20, 320, 800) (c) For X = the number that are in violation among the 20 visited out of 800 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. V(X) = Compute E(X) and V(X) for the approximating pmf. E(X) = V(X) =
A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 80 industrial firms. An inspector will visit 20 randomly selected firms to check for violations of regulations. (a) If 32 of the firms are actually violating at least one regulation, what the pmf f the number of firms visited by the inspector that are in violation of at least one regulation? O nb(x; 20, 32, 80) O h(x; 20, 32, 80) O nb(x; 20, 0.4) Oh(x; 20, 0.4) Ob(x; 20, 0.4) Ob(x; 20, 32, 80) (b) If there are 800 firms in the area, of which 320 are in violation, approximate the pmf of part (a) by a simpler pmf. Oh(x; 20, 0.4) Ob(x; 20, 0.4) Oh(x; 20, 320, 800) Onb(x; 20, 0.4) O nb(x; 20, 320, 800) O b(x; 20, 320, 800) (c) For X = the number that are in violation among the 20 visited out of 800 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. V(X) = Compute E(X) and V(X) for the approximating pmf. E(X) = V(X) =
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 80 industrial firms. An inspector will visit 20 randomly selected firms to check for violations of regulations.
(a) If 32 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?
O nb(x; 20, 32, 80)
O h(x; 20, 32, 80)
Onb(x; 20, 0.4)
O h(x; 20, 0.4)
Ob(x; 20, 0.4)
Ob(x; 20, 32, 80)
(b) If there are 800 firms in the area, of which 320 are in violation, approximate the pmf of part (a) by a simpler pmf.
O h(x; 20, 0.4)
O b(x; 20, 0.4)
O h(x; 20, 320, 800)
Onb(x; 20, 0.4)
Onb(x; 20, 320, 800)
O b(x; 20, 320, 800)
(c) For X = the number that are in violation among the 20 visited out of 800 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) =
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