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second-stage smog alert has been called in a certain area of Los Angeles County in which there are 70 industrial firms. An inspector will visit 10 randomly selected firm to check for violations of regulations. (a) If 28 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; 10, 0.4) O h(x; 10, 0.4) O h(x; 10, 28, 70) О Б(x;B 10, 28, 70) О Бix;B 10, 0.4) nb(x; 10, 28, 70) (b) If there are 700 firms in the area, of which 280 are in violation, approximate the pmf of part (a) by a simpler pmf. O nb(x; 10, 0.4) O b(x; 10, 0.4) O b(x; 10, 280, 700) O h(x; 10, 280, 700) O h(x; 10, 0.4) nb(x; 10, 280, 700) (c) For X = the number that are in violation among the 10 visited out of 700 firms, compute E(X) and V(X) both for the exact pmf and the approximating pmf in part (I (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.

second-stage smog alert has been called in a certain area of Los Angeles County in which there are 70 industrial firms. An inspector will visit 10 randomly selected firm to check for violations of regulations. (a) If 28 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; 10, 0.4) O h(x; 10, 0.4) O h(x; 10, 28, 70) О Б(x;B 10, 28, 70) О Бix;B 10, 0.4) nb(x; 10, 28, 70) (b) If there are 700 firms in the area, of which 280 are in violation, approximate the pmf of part (a) by a simpler pmf. O nb(x; 10, 0.4) O b(x; 10, 0.4) O b(x; 10, 280, 700) O h(x; 10, 280, 700) O h(x; 10, 0.4) nb(x; 10, 280, 700) (c) For X = the number that are in violation among the 10 visited out of 700 firms, compute E(X) and V(X) both for the exact pmf and the approximating pmf in part (I (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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 70 industrial firms. An inspector will visit 10 randomly selected firms to check for violations of regulations. (a) If 28 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; 10, 0.4) O h(x; 10, 0.4) O h(x; 10, 28, 70) О Бx; 10, 28, 70) O b(x; 10, 0.4) nb(x; 10, 28, 70) (b) If there are 700 firms in the area, of which 280 are in violation, approximate the pmf of part (a) by a simpler pmf. O nb(x; 10, 0.4) O b(x; 10, 0.4) O b(x; 10, 280, 700) O h(x; 10, 280, 700) O h(x; 10, 0.4) nb(x; 10, 280, 700) (c) For X = the number that are in violation among the 10 visited out of 700 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) = O o o
Transcribed Image Text:A second-stage smog alert has been called in a certain area of Los Angeles County in which there are 70 industrial firms. An inspector will visit 10 randomly selected firms to check for violations of regulations. (a) If 28 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; 10, 0.4) O h(x; 10, 0.4) O h(x; 10, 28, 70) О Бx; 10, 28, 70) O b(x; 10, 0.4) nb(x; 10, 28, 70) (b) If there are 700 firms in the area, of which 280 are in violation, approximate the pmf of part (a) by a simpler pmf. O nb(x; 10, 0.4) O b(x; 10, 0.4) O b(x; 10, 280, 700) O h(x; 10, 280, 700) O h(x; 10, 0.4) nb(x; 10, 280, 700) (c) For X = the number that are in violation among the 10 visited out of 700 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) = O o o
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