# continuous random variable pdf

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Then it can be shown that the pdf’s … /FontDescriptor 32 0 R 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 It follows from the above that if Xis a continuous random variable, then the probability that X takes on any /Type/Font /FontDescriptor 26 0 R 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 777.8 >> >> 323.4 877 538.7 538.7 877 843.3 798.6 815.5 860.1 767.9 737.1 883.9 843.3 412.7 583.3 272 272 489.6 544 435.2 544 435.2 299.2 489.6 544 272 299.2 516.8 272 816 544 489.6 endstream endobj startxref /Widths[323.4 569.4 938.5 569.4 938.5 877 323.4 446.4 446.4 569.4 877 323.4 384.9 Discrete Random Variables We often omit the discussion of the underlying sample space for a random /FirstChar 0 465 322.5 384 636.5 500 277.8 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 >> << <> 0000002089 00000 n << 305.6 550 550 550 550 550 550 550 550 550 550 550 305.6 305.6 366.7 855.6 519.4 519.4 0000005357 00000 n /Type/Font 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 /Type/Font <>/Font<>/XObject<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 720 540] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> /Widths[350 602.8 958.3 575 958.3 894.4 319.4 447.2 447.2 575 894.4 319.4 383.3 319.4 288.9 500 277.8 277.8 480.6 516.7 444.4 516.7 444.4 305.6 500 516.7 238.9 266.7 488.9 It “records” the probabilities associated with as under its graph. endobj /Subtype/Type1 777.8 1000 1000 1000 1000 1000 1000 777.8 777.8 555.6 722.2 666.7 722.2 722.2 666.7 /Encoding 20 0 R endobj << >> %PDF-1.4 %���� 575 575 575 575 575 575 575 575 575 575 575 319.4 319.4 350 894.4 543.1 543.1 894.4 stream µ X =E[X]= x"f(x) x#D \$ 2. 777.8 500 861.1 972.2 777.8 238.9 500] �����\�=2EA8���5� e�`&i�Ѐ�ů�G��`_��}{v�P#;������T���lz��7^����ϧGN*,P�s˘5�����Xj*/����,N��z�����=��S�'��������_fN� cprt � Ldesc H kwtpt � bkpt � rTRC � gTRC � bTRC � rXYZ gXYZ bXYZ 4 text Copyright (c) 1999 Adobe Systems Incorporated. /ColorSpace 14 0 R /LastChar 196 7 0 obj 323.4 569.4 569.4 569.4 569.4 569.4 569.4 569.4 569.4 569.4 569.4 569.4 323.4 323.4 /FirstChar 33 ��M:�f{p���D���Y�^xB����9i�1��oE54k��h����yg=�ũ�1���{q�[����fǡs\$C�pfl}�`w ��� ��gJ��@�H ��(�=7ߡ�&���E���&��]�[�P�G�5� �,}/"��ߙ4д�8��=拲����VؔsC��˥�fy���)���m2�,A0}Ļ����@�1��E��� �JB�(���qQ���N�PNE,#��w�p�ʫK��A�B>��|oP:���a�х�u����\i%r/�Gv���xM�d�P�'D���c�!�^�� ����Tvc�. endobj x�+T0�32�472T0 AdNr.W�������9D���P�����������F?�B�%�+a1� << >> /Encoding 7 0 R /Differences[0/Gamma/Delta/Theta/Lambda/Xi/Pi/Sigma/Upsilon/Phi/Psi/Omega/alpha/beta/gamma/delta/epsilon1/zeta/eta/theta/iota/kappa/lambda/mu/nu/xi/pi/rho/sigma/tau/upsilon/phi/chi/psi/omega/epsilon/theta1/pi1/rho1/sigma1/phi1/arrowlefttophalf/arrowleftbothalf/arrowrighttophalf/arrowrightbothalf/arrowhookleft/arrowhookright/triangleright/triangleleft/zerooldstyle/oneoldstyle/twooldstyle/threeoldstyle/fouroldstyle/fiveoldstyle/sixoldstyle/sevenoldstyle/eightoldstyle/nineoldstyle/period/comma/less/slash/greater/star/partialdiff/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/Q/R/S/T/U/V/W/X/Y/Z/flat/natural/sharp/slurbelow/slurabove/lscript/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/dotlessi/dotlessj/weierstrass/vector/tie/psi endstream endobj 678 0 obj <>/Metadata 81 0 R/Names 704 0 R/Outlines 201 0 R/PageMode/UseNone/Pages 673 0 R/StructTreeRoot 232 0 R/Type/Catalog>> endobj 679 0 obj <>/ProcSet[/PDF/Text]>>/Rotate 0/StructParents 0/Tabs/S/Type/Page>> endobj 680 0 obj <>stream