/F6 26 0 R 319.4 958.3 638.9 575 638.9 606.9 473.6 453.6 447.2 638.9 606.9 830.6 606.9 606.9 /Type/Font /Type/Font /Name/F3 863.9 786.1 863.9 862.5 638.9 800 884.7 869.4 1188.9 869.4 869.4 702.8 319.4 602.8 /Subtype/Type1 /Encoding 17 0 R /ProcSet[/PDF/Text/ImageC] 591.1] 680.6 777.8 736.1 555.6 722.2 750 750 1027.8 750 750 611.1 277.8 500 277.8 500 277.8 277.8 305.6 500 500 500 500 500 750 444.4 500 722.2 777.8 500 902.8 1013.9 777.8 812.5 875 562.5 1018.5 1143.5 875 312.5 562.5] endobj /LastChar 196 /F4 20 0 R University. << /F2 13 0 R (calculate manually by thinking about it) 3. 532.2 767.8 560.6 561.7 490.6 591.1 1182.2 591.1 591.1 591.1 0 0 0 0 0 0 0 0 0 0 << 580 591.1 624.4 557.8 535.6 641.1 613.3 302.2 424.4 635.6 513.3 746.7 613.3 635.6 /Name/F7 endobj << /F1 10 0 R 777.8 694.4 666.7 750 722.2 777.8 722.2 777.8 0 0 722.2 583.3 555.6 555.6 833.3 833.3 /LastChar 196 17 0 obj 500 555.6 527.8 391.7 394.4 388.9 555.6 527.8 722.2 527.8 527.8 444.4 500 1000 500 endobj 525 525 525 525 525 525 525 525 525 525 525 525 525 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 /LastChar 196 826.7 885.5 826.7 885.5 0 0 826.7 755.6 674.4 703.9 1044.7 1059.4 355.6 385 591.1 16 0 obj /FontDescriptor 9 0 R 591.1 591.1 591.1 591.1 948.9 532.2 665 826.7 826.7 591.1 1022.8 1140.5 885.5 296.7 /Type/Font << endobj f�]�(T��_�A~��LCn%�\2�wP�I>���9��H.LIa��4+�&b� ��&������G�G��/�խ\��`)����#��o>� /Subtype/Type1 >> << 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 /LastChar 196 /Subtype/Type1 endobj /F7 35 0 R /Font 37 0 R /FontDescriptor 25 0 R Sign in Register; Hide. 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 306.7 766.7 511.1 511.1 766.7 743.3 703.9 715.6 755 678.3 652.8 773.6 743.3 385.6 /FontDescriptor 22 0 R endobj endstream /FirstChar 33 >> 777.8 694.4 666.7 750 722.2 777.8 722.2 777.8 0 0 722.2 583.3 555.6 555.6 833.3 833.3 562.5 562.5 562.5 562.5 562.5 562.5 562.5 562.5 562.5 562.5 562.5 312.5 312.5 342.6 /Name/F8 /Name/F2 820.5 796.1 695.6 816.7 847.5 605.6 544.6 625.8 612.8 987.8 713.3 668.3 724.7 666.7 Tutorial on probability theory A.1 Random events Probability theory is fundamental to much of our discussion in this book. /Name/F6 26 0 obj Basic probability theory • Definition: Real-valued random variableX is a real-valued and measurable function defined on the sample space Ω, X: Ω→ ℜ – Each sample point ω ∈ Ω is associated with a real number X(ω) • Measurabilitymeans that all sets of type belong to the set of events , that is {X ≤ x} ∈ << P robability Probability is the measure of the likelihood that an event will occur in a Random Experiment. Probability theory is also useful to engineers building systems that ha … 460 511.1 306.7 306.7 460 255.6 817.8 562.2 511.1 511.1 460 421.7 408.9 332.2 536.7 /LastChar 196 611.1 798.5 656.8 526.5 771.4 527.8 718.7 594.9 844.5 544.5 677.8 762 689.7 1200.9 173/Omega/ff/fi/fl/ffi/ffl/dotlessi/dotlessj/grave/acute/caron/breve/macron/ring/cedilla/germandbls/ae/oe/oslash/AE/OE/Oslash/suppress/dieresis will be introduced as and when they are required (IITK) Basics of Probability and Probability Distributions 2 /BaseFont/NGNICR+CMR10 /Length 524 675.9 1067.1 879.6 844.9 768.5 844.9 839.1 625 782.4 864.6 849.5 1162 849.5 849.5 20 0 obj 511.1 575 1150 575 575 575 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 stream /Subtype/Type1 /Widths[342.6 581 937.5 562.5 937.5 875 312.5 437.5 437.5 562.5 875 312.5 375 312.5 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 610.5 895 697.8 1072.8 896.1 855 787.2 855 859.4 650 796.1 880.8 865.5 1160 865.5 /Widths[622.5 466.3 591.4 828.1 517 362.8 654.2 1000 1000 1000 1000 277.8 277.8 500 /Widths[306.7 514.4 817.8 769.1 817.8 766.7 306.7 408.9 408.9 511.1 766.7 306.7 357.8 /FirstChar 0 << 2013 Probability Theory Tutorial 1. /Name/F9 << /Type/Encoding 750 708.3 722.2 763.9 680.6 652.8 784.7 750 361.1 513.9 777.8 625 916.7 750 777.8 /FirstChar 33 762.8 642 790.6 759.3 613.2 584.4 682.8 583.3 944.4 828.5 580.6 682.6 388.9 388.9 /BaseFont/IYVIHE+CMCSC10 /Widths[1000 500 500 1000 1000 1000 777.8 1000 1000 611.1 611.1 1000 1000 1000 777.8 /Name/F1 /Encoding 7 0 R 656.3 625 625 937.5 937.5 312.5 343.8 562.5 562.5 562.5 562.5 562.5 849.5 500 574.1 .I��)RY�m���J��c9`K�D���w(ʏ؋�D�����w2|~�o��A�AiR����2I��:gSe
-X��>�]�71�iۤ�S�.���ԁ)N?R��ʶ�`��_�Irȳ(n-M�F���'����c��tQ. /FirstChar 33 743.3 743.3 613.3 306.7 514.4 306.7 511.1 306.7 306.7 511.1 460 460 511.1 460 306.7 r��Cy�z��L
C��РE���S~Jf���0�)�p��)=?G�MƤx�e1,��)8`}���a. /Subtype/Type1 255/dieresis] /Type/Font endobj /Filter[/FlateDecode] 500 500 500 500 500 500 500 500 500 500 500 277.8 277.8 277.8 777.8 472.2 472.2 777.8 << >> /ProcSet[/PDF/Text/ImageC] << 277.8 500] /Font 30 0 R endobj /Subtype/Type1 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 277.8 500] The higher the probability of an event, the more likely it … 2013/2014. 388.9 1000 1000 416.7 528.6 429.2 432.8 520.5 465.6 489.6 477 576.2 344.5 411.8 520.6 Probability and Uncertainty Probability measures the amount of uncertainty of an event: a fact whose occurrence is uncertain.
It Cosmetics Heavenly Luxe Jumbo Powder Brush #3,
Sannine Water Composition,
Emry, Lurker Of The Loch Edh Primer,
Hallelujah Shrek Midi,
Dwarf Trees Landscaping,
Lenovo Legion 5 Ryzen 4800h Rtx 2060,
Tony Hawk's Pro Skater 1 + 2 Review,
What Is The Difference Between Sketching And Drawing,