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Category: Probability and Statistics

Question-151602

Question Number 151602 by DELETED last updated on 22/Aug/21 Answered by DELETED last updated on 22/Aug/21 $$\left.\mathrm{1}.\mathrm{g}\right).\:\mathrm{Letak}\:\mathrm{persentil}\:\mathrm{ke}−\mathrm{65} \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{P}_{\mathrm{i}} =\frac{\mathrm{i}\left(\mathrm{N}+\mathrm{1}\right)}{\mathrm{100}}\:\rightarrow\mathrm{P}_{\mathrm{65}} \:=\frac{\mathrm{65}\left(\mathrm{25}+\mathrm{1}\right)}{\mathrm{100}} \\ $$$$\:\:\:\:=\frac{\mathrm{65}×\mathrm{26}}{\mathrm{100}}=\mathrm{16},\mathrm{9} \\ $$$$\:\:\:\:\mathrm{Nilai}\:\mathrm{persentil}\:\mathrm{ke}\:\mathrm{65}=\mathrm{x}_{\mathrm{16}}…

when-a-die-is-rolled-42-times-it-is-so-happened-that-a-face-having-the-digit-i-times-occured-2i-times-then-find-the-mean-deviation-from-the-mean-of-this-discrete-frequency-distribution-ans-is-80-

Question Number 151454 by gsk2684 last updated on 21/Aug/21 $${when}\:{a}\:{die}\:{is}\:{rolled}\:\mathrm{42}\:{times}\:{it}\:{is}\:{so} \\ $$$${happened}\:{that}\:{a}\:{face}\:{having}\:{the}\:{digit}\:{i} \\ $$$${times}\:{occured}\:\mathrm{2}{i}\:{times}.\:{then}\:{find}\:{the} \\ $$$${mean}\:{deviation}\:{from}\:{the}\:{mean}\:{of}\:{this} \\ $$$${discrete}\:{frequency}\:{distribution}. \\ $$$${ans}\:{is}\:\frac{\mathrm{80}}{\mathrm{63}} \\ $$$${sol}\:{pls} \\ $$ Commented…

Is-the-Var-aX-b-a-2-Var-X-b-

Question Number 85859 by jagoll last updated on 25/Mar/20 $$\:\mathrm{Is}\:\mathrm{the}\:\mathrm{Var}\left(\mathrm{aX}+\mathrm{b}\right)\:=\:\mathrm{a}^{\mathrm{2}} \:\mathrm{Var}\left(\mathrm{X}\right)\:+\:\mathrm{b}? \\ $$ Answered by Joel578 last updated on 25/Mar/20 $${nope} \\ $$$$\mathrm{Assume}\:{a}\:\mathrm{and}\:{b}\:\mathrm{is}\:\mathrm{constant},\:\mathrm{then} \\ $$$$\mathrm{var}\left({b}\right)\:=\:{E}\left[{b}^{\mathrm{2}}…

Question-19679

Question Number 19679 by myintkhaing last updated on 14/Aug/17 Commented by myintkhaing last updated on 14/Aug/17 $$\left(\mathrm{a}\right)\:\mathrm{A}\:\mathrm{will}\:\mathrm{win}\:\mathrm{both}\:\mathrm{races} \\ $$$$\left(\mathrm{b}\right)\:\mathrm{A}\:\mathrm{will}\:\mathrm{win}\:\mathrm{either}\:\mathrm{race} \\ $$$$\left(\mathrm{c}\right)\:\mathrm{A}\:\mathrm{will}\:\mathrm{win}\:\mathrm{only}\:\mathrm{one}\:\mathrm{race} \\ $$ Terms of…

Three-tennis-players-A-B-and-C-play-each-other-only-once-The-probability-that-A-will-beat-B-is-3-5-that-B-will-beat-C-is-2-3-and-that-A-will-beat-C-is-5-7-Find-1-the-probability-that-A-wi

Question Number 19393 by myintkhaing last updated on 10/Aug/17 $$\mathrm{Three}\:\mathrm{tennis}\:\mathrm{players}\:\mathrm{A},\:\mathrm{B}\:\mathrm{and}\:\mathrm{C}\:\mathrm{play}\:\mathrm{each} \\ $$$$\mathrm{other}\:\mathrm{only}\:\mathrm{once}.\:\mathrm{The}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{A}\:\mathrm{will} \\ $$$$\mathrm{beat}\:\mathrm{B}\:\mathrm{is}\:\frac{\mathrm{3}}{\mathrm{5}},\:\mathrm{that}\:\mathrm{B}\:\mathrm{will}\:\mathrm{beat}\:\mathrm{C}\:\mathrm{is}\:\frac{\mathrm{2}}{\mathrm{3}},\:\mathrm{and}\:\mathrm{that} \\ $$$$\mathrm{A}\:\mathrm{will}\:\mathrm{beat}\:\mathrm{C}\:\mathrm{is}\:\frac{\mathrm{5}}{\mathrm{7}}.\:\mathrm{Find}\:\left(\mathrm{1}\right)\:\mathrm{the}\:\mathrm{probability} \\ $$$$\mathrm{that}\:\mathrm{A}\:\mathrm{will}\:\mathrm{not}\:\mathrm{win}\:\mathrm{both}\:\mathrm{games} \\ $$$$\left(\mathrm{2}\right)\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{A}\:\mathrm{will}\:\mathrm{win}\:\mathrm{not}\:\mathrm{both}\:\mathrm{games}. \\ $$ Answered by allizzwell23…