Essay About Chebycheff’S Inequality And Standard Deviation

Stats for Management
STATISTICS FOR MANAGEMENTPROBLEMS ON PROBABILITY AND DISTRIBUTIONSANSWERS1. 7/92. 0.048 3. 0.2872 4. (a) (0.75)n, (b) 0.288 5. (a) 0.44, (b) 0.404, (c) 0.8982, (d) 0.5556 6. (a) 0.83, (b) 0.086, (c) 0.506, (d) 0.232, (e) 0.08 7. (a) 0.7, (b) 0.3413, (c) (I) 0.692, (II) 0.4878 8. (a) 0.7, (b) 0.25, (c) 0.8673 9. (a) 0.8, (b) 0.7, (c) 0.4286, (d) 0.2143, (e) 0.610. (a) 0.3888, (b) 0.2496 11. (a) 0.37, (b) 0.5556, (c) 0.246, (d) 0.214, (e) 0.410, (f) 0.789 12. (a) 0.1, (b) 0.6, (c) 0.3 13. 0.271 14. (a) 0.5, (b) 0.3085, (c) (i) 1.8904, (ii) 0.521715. (a) 0.21, (b) 0.8037, (c) 7.82 16. 2.407 17. (a) 0.4, (b) 0.2712 18. (a) 0.3, (b) 5.36 19. 0.1798, 0 20. E(Y – X) = 1, P(Y=3) = 0.375 21. (a) 0.0658, (b) 0.5391, (c) 1.5, (d) 6 22.  k = 0.5, a = 2/3, median = (2/3)+[pic 1], conditional probability = 5/823. (a) 2, (b) 0.9647, (c) 0.1856 24. (a) 0.8917, (b) 0.4762, (c) 0.825. 0.4667  26. 1.125 27. (i) 0.48, (ii) 0.4828 28. P(X=0)= 0.336, P(X=1)= 0.452, P(X=2)= 0.188, P(X=3)= 0.024,        E(X)= 0.9, V(X) = 0.61 29. (a) 0.91, (b) 0.335, (c) 0.78, (d) 0.227130. (a) 3/16, (b) 9/16, (c) 3/16, (d) 37/16, (e) 0.7148, (f) 27/16 31. (a) 0.5, (b) 2/3, (c) 2.5, (d) 0.25, (e) 2.3, (f) 7 32. (a) 0.189, (b) 0.095, (c) 1.98, (d) 0.235 33. (a) 0.3278, (b) 0.4891 34. (a) 7/24, (b) 26/9, (c) 77/192, (d) 49/576, (e) 1/2 35. (a) 0.2682, (b) (i) 0.1571, (ii) No, (c) Yes, by Chebycheff’s inequality,      (d) mean =  – 1.2427, standard deviation = 5.6513 36. (a) 0.7240, (b) 0.4, (c) 0.312537. (a) 1.4586, (b) 0.8028, (c) 0.9, (d) 65.667 38. (a) 0.4651, (b) 1/3, (c) 3/64, (d) 12.96, (e) 1.71