Introduction to Probability phần 5 potx

... VARIANCE W L W L W L W L W L W L (2,3,12) L 10 9 8 6 5 4 (7,11) W 1/3 2/3 2 /5 3 /5 5/11 6/11 5/ 11 6/11 2 /5 3 /5 1/3 2/3 2/9 1/12 1/9 5/ 36 5/ 36 1/9 1/12 1/9 1/36 2/36 2/ 45 3/ 45 25/ 396 30/396 25/ 396 30/396 2/ 45 3/ 45 1/36 2/36 Figure ... closely related. Example 6 .5 The heights, in inches, of the women on the Swarthmore basketball team are 5 9”, 5 9”, 5 6”, 5 8”,...

Ngày tải lên: 09/08/2014, 23:20

... .0901 .0900 8 .0000 .0000 .1126 .1128 9 .1 251 .1 256 10 .1 251 .1 257 11 .1137 .1143 12 .0948 .0 952 13 .0729 .0731 14 . 052 1 . 052 0 15 .0347 .03 45 16 .0217 .02 15 17 .0128 .0126 18 .0071 .0069 19 .0037 ... .09 05 .09 05 .3679 .3697 .00 05 .0004 2 .00 45 .00 45 .1839 .1849 .0023 .0022 3 .0002 .0002 .0613 .0610 .0076 .0074 4 .0000 .0000 .0 153 .0149 .0189 .0186 5 .0031 .0029...

Ngày tải lên: 09/08/2014, 23:20

... 2646 2 2934 3 3 352 4 3000 5 3 357 6 2892 7 3 657 8 30 25 9 3362 10 29 85 11 3138 12 3043 13 2690 14 2423 15 255 6 16 2 456 17 2479 18 2276 19 2304 20 1971 21 254 3 22 2678 23 2729 24 2414 25 2616 26 2426 ... CHAPTER 5. DISTRIBUTIONS AND DENSITIES Dark Eyes Light Eyes Dark Hair 28 15 43 Light Hair 9 23 32 37 38 75 Table 5. 6: Observed data. 0 10 20 30 40 0 50 0 1000 150 0 2000...

Ngày tải lên: 04/07/2014, 10:20

... or work done on a massive piston may appear as kinetic energy of the piston, subsequently converted to thermal energy by collision of the piston with mechanical stops (in the surroundings). Or ... vaporization is 2. 258 kJ/g, and for calculation of the work done 8 it is sufficient to assume that the water vapor is an ideal gas. ∆E = Q + W = 2. 258 kJ/g x 5 g - 1 atm[ 5/ 18 mol x (8.31...

Ngày tải lên: 08/08/2014, 15:21

... ln 7/10/07 2- 54 3. Find ∆S when 2 mol of an ideal gas at 25 C is expanded into vacuum to 10 times its original o volume. 4. A vessel containing 5 mol of an ideal gas, A, is connected to an identical ... and dilute solutions, are too important to permit such awkward behavior of the function chosen to describe them. We turn, therefore, for this purpose to the vapor pressure or...

Ngày tải lên: 08/08/2014, 15:21

... m, the tortoise has moved only 10 m. When Achilles has run 10 m, the tortoise has moved 1 m. Each time Achilles runs the distance to where the tortoise had been, the tortoise will have moved to ... write 2 3 4 5 6 0 1. 75 3 .5 7/10/07 A- 120 A.2 Theory of Limits Zeno posed the problem of Achilles and the tortoise. Achilles could run ten times as fast as the tortoise. If the torto...

Ngày tải lên: 08/08/2014, 15:21

... something you almost never want (or need) to do. You need to be able to store whatever values are appropriate at any given time. There are two approaches to doing this. Both are reasonable, but ... Ctrl+F5. You should see the output in Figure 11 -5, the first and last names of all nine employees. Figure 11 -5. Using a data reader How It Works In this example, you use the ExecuteReader...

Ngày tải lên: 08/08/2014, 18:21

... chooses art with probability 5/ 8, French with probability 5/ 8, and art and French together with probability 1/4. What is the probability that he chooses mathematics? What is the probability that ... , which implies that 5m(C) = 1. Hence, m(A) = 2 5 , m(B) = 2 5 , m(C) = 1 5 . Let E be the event that either A or C wins. Then E ={A,C}, and P (E) = m(A) + m(C) = 2 5 + 1 5...

Ngày tải lên: 09/08/2014, 23:20

... Plenum, 1969). 2.2. CONTINUOUS DENSITY FUNCTIONS 65 -1 -0 .5 0 .5 1 1 .5 2 0.2 0.4 0.6 0.8 1 -1 -0 .5 0 0 .5 1 1 .5 2 0. 25 0 .5 0. 75 1 1. 25 1 .5 1. 75 2 F (z) Z f (z) Z Figure 2.17: Distribution and ... PROBABILITIES 51 Length of Number of Number of Estimate Experimenter needle casts crossings for π Wolf, 1 850 .8 50 00 253 2 3. 159 6 Smith, 1 855 .6 3204 1218 .5 3. 155 3...

Ngày tải lên: 09/08/2014, 23:20

... 0.99999 953 34 5 0.9237329294 6 0.61 354 959 66 7 0.33406099 95 8 0.167 158 6419 9 0.0 854 201934 10 0.0429 455 489 11 0.02 150 23760 12 0.010 754 89 35 13 0.0 053 779101 14 0.0026890130 Table 3.14: Distance to the ... signs, the sum is 0. 3.2. COMBINATIONS 99 k b(n, p, k) 45 .04 85 46 . 058 0 47 .0666 48 .07 35 49 .0780 50 .0796 51 .0780 52 .07 35 53 .0666 54 . 058 0 55 .04 8...

Ngày tải lên: 09/08/2014, 23:20