Introduction to Probability phần 9 docx

... by a probability distribution on the set of states, which we will call a probability vector. A probability vector with r components is a row vector whose entries are non-negative and sum to 1. ... going to a certain four-year medical school in northern New England has, each year, a probability q of flunking out, a probability r of having to repeat the year, and a probability...

Ngày tải lên: 09/08/2014, 23:20

... 1.2 .38 49 2.2 .4861 3.2 . 499 3 .3 .11 79 1.3 .4032 2.3 .4 893 3.3 . 499 5 .4 .1554 1.4 .4 192 2.4 . 491 8 3.4 . 499 7 .5 . 191 5 1.5 .4332 2.5 . 493 8 3.5 . 499 8 .6 .2257 1.6 .4452 2.6 . 495 3 3.6 . 499 8 .7 ... 1.7 .4554 2.7 . 496 5 3.7 . 499 9 .8 .2881 1.8 .4641 2.8 . 497 4 3.8 . 499 9 .9 .31 59 1 .9 .4713 2 .9 . 498 1 3 .9 .5000 Figure 9. 4: Table of values of NA(0, z),...

Ngày tải lên: 09/08/2014, 23:20

... 2532 3.1 596 Smith, 1855 .6 3204 1218.5 3.1553 De Morgan, c.1860 1.0 600 382.5 3.137 Fox, 1864 .75 1030 4 89 3.1 595 Lazzerini, 190 1 .83 3408 1808 3.141 592 9 Reina, 192 5 .54 19 2520 8 69 3.1 795 Table ... planning one would have to be extremely lucky to be able to stop so cleverly. The second author likes to trace his interest in probability theory to the Chicago World’s...

Ngày tải lên: 04/07/2014, 10:20

... 3025 9 3362 10 298 5 11 3138 12 3043 13 2 690 14 2423 15 2556 16 2456 17 24 79 18 2276 19 2304 20 197 1 21 2543 22 2678 23 27 29 24 2414 25 2616 26 2426 27 2381 28 20 59 29 20 39 30 2 298 31 2081 32 1508 ... 37 56 93 B 63 60 123 C 47 43 90 Below C 5 8 13 152 167 3 19 Table 5.8: Calculus class data. Female Male A 44.3 48.7 93 B 58.6 64.4 123 C 42 .9 47.1 90 Below C 6.2 6.8...

Ngày tải lên: 04/07/2014, 10:20

... <A 100 <.4) ≥ . 79 , P (.2 <A 1000 <.4) ≥ .97 9 . These values should be compared with the actual values, which are (to six decimal places) P (.2 <A 100 <.4) ≈ .96 25 49 P (.2 <A 1000 <.4) ... 100/(12n). For n = 100, this is about .92 , but if n = 1000, this is better than .99 and if n =10,000, this is better than .99 9. We can illustrate what the Law of Large Numb...

Ngày tải lên: 04/07/2014, 10:20

... 1.2 .38 49 2.2 .4861 3.2 . 499 3 .3 .11 79 1.3 .4032 2.3 .4 893 3.3 . 499 5 .4 .1554 1.4 .4 192 2.4 . 491 8 3.4 . 499 7 .5 . 191 5 1.5 .4332 2.5 . 493 8 3.5 . 499 8 .6 .2257 1.6 .4452 2.6 . 495 3 3.6 . 499 8 .7 .2580 ... 1.7 .4554 2.7 . 496 5 3.7 . 499 9 .8 .2881 1.8 .4641 2.8 . 497 4 3.8 . 499 9 .9 .31 59 1 .9 .4713 2 .9 . 498 1 3 .9 .5000 Figure 9. 4: Table of values of NA(0,z),...

Ngày tải lên: 04/07/2014, 10:20

... liberal-radical of the old totem/ i.e., of the old order. Apparently derived from the top -to- bottom order on totem poles. to the wide utterly Inf. Done to the wide means 'done ... with the racetrack tout who furnishes advice on how to bet. tower block. See block. tOWn, n. SEE COMMENT To someone in England, town is London, even though London is not a town but a...

Ngày tải lên: 24/07/2014, 07:21

... 2 ∆H = - 39, 240 - 25 .9 x 24 - 11,780 - 23.7 x 70 - 29. 4 x 94 - 296 ,90 0 + 41 .9 x 94 J/mol 392 = - 3 49. 0 kJ/mol Note that temperature differences can be found without conversion to the Kelvin ... -200 up H 28.8 25 to 200 2 O 29. 4 25 to 200 2 H O(g)* 36.4 25 to 200 2 SO (g) 41 .9 25 to 200 2 S (r) 23.7 25 to 200 S (m) 25 .9 95 to 120 *For rough calculations it...

Ngày tải lên: 08/08/2014, 15:21

... 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 to an idealization of the ... vapor to be an ideal gas. The volume of (3) V S VV SS dT dP AB AB ∆ ∆ = − − = (4) VT H dT dP ∆ ∆ = C0.14 K 334 10 x 1.013x 10 x 0. 090 35 x 273 x 19 J/m 1 Pa 1 Pa 10 x 013.1 a...

Ngày tải lên: 08/08/2014, 15:21

... compensating. 7/10/07 3- 69 (I. Soln.) V = n v + n v (18) A A B B PARTIAL MOLAL QUANTITIES. It is often convenient to have an equation, for non-ideal solutions, similar to equation 18, by which the total volume ... Addition of gold to silver will raise the freezing point of the silver, although addition of silver to gold lowers the freezing point of the gold. These effects, which may...

Ngày tải lên: 08/08/2014, 15:21