com03fB-or - SOLAR Sil' DL'X'I‘ Li)“: Probability So. i...

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Unformatted text preview: SOLAR Sil' DL'X'I‘ Li)“: Probability So. i e H iniee ereblems For a tail credit. ladicate below \ .u 9.. on each question sheet. ALLa‘h all extra the aupropriate Sheet. Hand in all questioe Tile cl ixem is from iZKOOR-lPM St.H.;\R fi'lUIJI-ZN'I' Til-'5 t . The I'umh‘nn \"Lll‘iathicfi {){Ed‘t’y Xh-M} are independent and identieully distributed with exneeted \"LliLlC [it X J. The random vau‘iuhie is; distributed :15 :1 geometrie tandem i'an‘iuhic u ith ].ii‘:'il);ihilit}-' 01‘ SUL‘L‘CSS‘ parameter p : 0.01 and is independent 01' -I X .X_. t X . Let the I'undi'im vuriuhle S : Z X.. (Tuleulute US). Pt‘m'e your result. SLT]1..-\R Si'UlHiX—l' JD“ L . (f'unxiuiur' :1 win {hall cmncs up heads with prohuhihty‘p and tails wilh probability f—p. [.cI (3.. be. 1110 prohall‘rility that after u imicpcndcnl losscs‘ [here have been an even nLtmlm' 01‘ heads. Prove ll'mI (L... : H+f {GNU/3 _ SOLAR S'.|'I.'|]|-iN" Ii)" Suppoxt‘ that H" the amount ol‘ moisture in [be aii‘ on a given day. is a gamma random variable with ptll'LIIHClCI‘S (L13). That is. its probability density function is fth — [3c ""' (fin); 'i’l‘i'ri. ll' 3 U. Suppose also that givcn [bat W = H'. the number o!‘ accidents during that day: has a Poiason distribution with moan n: Coi‘i‘intitc the conditional distribution ol‘ W given that : at SOLAR STLTI'JFNT IT)” A funny produces; gudgcla on day :1. when: XL. arc imlupcndenl and jdcmiuully clixlt'ihulcd random vuriuhlcx \x-‘ilh mean 3 and Variance L). Find am approximmiun In {he p:'(1h;1l1ili1_\_-"{hail the luml number of gudgcls produccd in 100 days is Jew than 440. N ooouauaauuno... . . DLDDDHJmmIfi-wNi—‘OLDODHJQU‘IIfi-WNHOKDOD‘HJC‘U'IWWMHDI {UMMNNMNMNNMHHHHHHHHHHOOOOQODOQOl 00000000000000000 80 i ..-\R S'L'TIDEN 1' ii}-'-'_ Tables of the Normal Distribution Probability Content from -00 to Z .5040 0.5080 .5438 0.5478 .5832 0.5871 .6217 0.6255 .6591 0.6628 .6950 0.6985 .7291 0.7324 .7611 0.7642 .7910 0.7939 .8186 0.8212 .8438 0.8461 .8665 0.8686 0 0 0 0 0 0 0 . . 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 .8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 .9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 .9207 0.9222 0.9236 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 0 0 0 0 0 0 0 0 0 0 0 0 0 000000000000000 0.9345 0.9357 .9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 0.9463 0.9474 .9484 0.9495 0.9505 0.9515 0.9525 0.9535 0.9545 0.9564 0.9573 .9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 0.9649 0.9656 .9678 0.9686 0.9693 0.9699 0.9706 0.9719 0.9726 .9744 0.9750 0.9756 0.9761 0.9767 0.9778 0.9783 .9798 0.9803 0.9808 0.9812 0.9817 0.9826 0.9830 .9842 0.9846 0.9850 0.9854 0.9857 0.9864 0.9868 .9878 0.9881 0.9884 0.9887 0.9890 0.9896 0.9898 .9906 0.9909 0.9911 0.9913 0.9916 0.9920 0.9922 0.9931 0.9932 0.9934 0.9936 0.9940 0.9941 .9946 0.9948 0.9949 0.9951 0.9952 0.9955 0.9956 .9960 0.9961 0.9962 0.9963 0.9964 0.9966 0.9967 . .9970 0.9971 0.9972 0.9973 0.9974 0.9975 0.9976 0.9977 0.9977 .9978 0.9979 0.9979 0.9980 0.9981 0.9982 0.9982 0.9983 0.9984 .9984 0.9985 0.9985 0.9986 0.9986 0.9987 0.9987 0.9988 0.9988 .9989 0.9989 0.9989 0.9990 0.9990 n \D \D M U1 0 \D U: M a} 0000000000000 “3 LO [‘0 L0 ...
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com03fB-or - SOLAR Sil' DL'X'I‘ Li)“: Probability So. i...

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