699 words - 3 pages

80. a. These cases are a population because that these cases account for each of the 25 tables that are filled on the night in question. b. Mean = (28 + 39 + 23 + 67 +37 + 28 +56 + 40 +28+50+ 51 + 45 + 44 + 65 + 61 + 27 + 24 + 61 + 34 + 44 + 64 + 25+ 24 + 27 + 29) / 25 = 40.84 Median = The median value is the same as the middle value, and this is the same as the 13th highest number = 39 c. The biggest value = 67, lowest value = 23; so, the range is 67 – 23 = 44 Standard deviation = sqrt([(28 - 40.84)^2 + (39 - 40.84)^2 + (...same pattern) + (29 - 40.84)^2] / 25 ) =14.55 82. a. Mean = (3 x 90 + 8 x 110 + 12 x 130 + 16 x 150 + 7 x 170 + 4 x 190) / 50 = 141.2 b. Standard deviation =sqrt((3(90 - 141.2)^2 + 8(110 - ...view middle of the document...

There is standard deviation of about $47,100. II. a. Mean = sum of the entire home area / 105 = 2223.8

Median = 2220 (see attached spreadsheet) Standard deviation = 248.65 (see attached spreadsheet) b. The mean footage is about 2224 sq. ft.; but, the median sq. ft. is smaller 2200 sq. ft. This standard deviation is about 249 sq. ft. 34. P(a3|b1) = [P(a3)P(b1|a3)] / [P(a1)P(b1|a1) + P(a2)P(b1|a2) + P(a3)P(b1|a3)] = 0.1x 0.4 / (0.25 x 0.2 + 0.05 x 0.4 + 0.1 x 0.4) = 0.3636 36. Per Bayes' Theorem P(A|C) = P(C|A)P(A) / [P(C|A)P(A) + P(C|B)P(B)] = 0.9 x 0.8/ [0.9 x 0.8 + 0.6 x 0.2] = 0.857143 38. (1/4) x 0.05 / [(1/4) x 0.05 + (3/4) x 0.01] = 0.625 45. a. p(x=5) = C(10,5) x 0.1^5 x 0.9^5 = 0.001488 b. p(five or more defective) = C(10,5) x 0.1^5 x 0.9^5 + C(10,6) x 0.1^6 x 0.9^4 + C(10,7) x 0.1^7 x 0.9^3 + C(10,8) x 0.1^8 x 0.9^2 + C(10,9) x 0.1^9 x 0.9^1 + C(10,10) x 0.1^10 x 0.9^0 = 0.001635 62. a. p(none defective) = C(200,0) * (0.015)^0 * (0.985)^(200-0) = (0.985)^200 = 0.04867 b. p(three or more are defective) =1-P(0 defective) -P(1 defective)- P(2 defective) =1 C(200,0) x (0.015)^0 x (0.985)^(200-0)-C(200,1) x (0.015)^1 x (0.985)^(200-1) C(200,2) x (0.015)^2 x (0.985)^(200-2) = 0.5785 42. Mean = 32 Sd 2 a. 29 (29 - 32) /2 = -3/2 = -1.5, 34 (34 - 32) / 2 = 2/2 = 1.0; 0.84134 - 0.50000 = 0.34134 =

34.1% b. 0.84134 - 0.06681 = 0.77453 = 77.5% c. z = (28.7 - 32) /2 = -1.65 0.04947 = 4.9% d. z = 1.645 = (x - 32) / 2 35.29 hours 45. Mean =1280 Sd 420 a. z = (1500 - 1280) / 420 = 0.5238 1 - 0.69979 = 0.30021 = 30.0% b. 0.95676 - 0.69979 = 0.25697 = 25.7% c. value 0.00115 = 0.115% d. p(X x = 1,818.252

QNT 561 problem Set

Beat writer's block and start your paper with the best examples