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Category: Probability and Statistics

o-hans-The-probability-that-James-speaks-the-truth-is-60-and-for-John-this-probability-is-30-What-is-the-probability-that-they-contradict-each-other-

Question Number 108448 by bobhans last updated on 17/Aug/20 $$\:\:\frac{\beta{o}\beta{hans}}{\nparallel} \\ $$$${The}\:{probability}\:{that}\:{James}\:{speaks}\:{the}\:{truth}\:{is}\:\mathrm{60}\:\% \\ $$$${and}\:{for}\:{John}\:{this}\:{probability}\:{is}\:\mathrm{30}\:\%. \\ $$$${What}\:{is}\:{the}\:{probability}\:{that}\:{they}\:{contradict}\: \\ $$$${each}\:{other}?\: \\ $$ Terms of Service Privacy Policy…

There-are-20-white-and-10-black-balls-in-the-box-In-turn-draw-4-balls-and-each-draw-ball-is-returned-to-the-box-before-the-next-ball-is-drawn-and-the-balls-in-the-box-are-mixed-What-is-the-probabilit

Question Number 108377 by 1549442205PVT last updated on 16/Aug/20 $$\mathrm{There}\:\mathrm{are}\:\mathrm{20}\:\mathrm{white}\:\mathrm{and}\:\mathrm{10}\:\mathrm{black}\:\mathrm{balls} \\ $$$$\mathrm{in}\:\mathrm{the}\:\mathrm{box}.\mathrm{In}\:\mathrm{turn}\:\mathrm{draw}\:\mathrm{4}\:\mathrm{balls}\:\mathrm{and} \\ $$$$\mathrm{each}\:\mathrm{draw}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{returned}\:\mathrm{to}\:\mathrm{the}\:\mathrm{box} \\ $$$$\mathrm{before}\:\mathrm{the}\:\mathrm{next}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{drawn}\:\mathrm{and}\:\mathrm{the}\: \\ $$$$\mathrm{balls}\:\mathrm{in}\:\mathrm{the}\:\mathrm{box}\:\mathrm{are}\:\mathrm{mixed}.\mathrm{What}\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{probability}\:\mathrm{that}\:\mathrm{out}\:\mathrm{of}\:\mathrm{four}\:\mathrm{balls} \\ $$$$\mathrm{taken}\:\mathrm{out}\:\mathrm{there}\:\mathrm{will}\:\mathrm{be}\:\mathrm{two}\:\mathrm{white}\:\mathrm{balls}? \\ $$ Answered…

JS-If-a-random-variable-X-follows-normal-distribution-with-mean-30-and-variance-25-What-is-the-probalility-of-X-is-less-than-28-

Question Number 108334 by john santu last updated on 16/Aug/20 $$\:\:\:\frac{\multimap{JS}\multimap}{\bigtriangleup} \\ $$$${If}\:{a}\:{random}\:{variable}\:{X}\:{follows}\:{normal} \\ $$$${distribution}\:{with}\:{mean}\:\mathrm{30}\:{and}\: \\ $$$${variance}\:\mathrm{25}.\:{What}\:{is}\:{the}\:{probalility} \\ $$$${of}\:{X}\:{is}\:{less}\:{than}\:\mathrm{28}\:? \\ $$ Answered by bemath last…

X-0-X-1-F-y1-X-2-F-y2-F-y2-F-y2-Y-0-Y-1-F-x1-Y-2-F-x2-F-x1-F-x2-X-0-x-

Question Number 107913 by hhryhrry2 last updated on 13/Aug/20 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{X}_{\mathrm{0}} \:=\:\frac{\mathrm{X}_{\mathrm{1}} .\mathrm{F}_{\mathrm{y1}} \:+\:\mathrm{X}_{\mathrm{2}} .\mathrm{F}_{\mathrm{y2}} \:+\:…..}{\mathrm{F}_{\mathrm{y2}} \:+\:\mathrm{F}_{\mathrm{y2}\:} +\:…..} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{Y}_{\mathrm{0}} \:=\:\frac{\mathrm{Y}_{\mathrm{1}} .\mathrm{F}_{\mathrm{x1}} \:+\:\mathrm{Y}_{\mathrm{2}} .\mathrm{F}_{\mathrm{x2}} \:+\:……}{\mathrm{F}_{\mathrm{x1}} \:+\:\mathrm{F}_{\mathrm{x2}}…

Bobhans-If-all-the-letters-of-the-word-MISSISSIPPI-are-written-down-at-random-the-probability-that-all-the-four-S-appear-consecutively-is-

Question Number 107659 by bobhans last updated on 12/Aug/20 $$\:\:\:\:\:\oint\mathbb{B}\mathrm{obhans}\oint \\ $$$$\mathrm{If}\:\mathrm{all}\:\mathrm{the}\:\mathrm{letters}\:\mathrm{of}\:\mathrm{the}\:\mathrm{word}\:\mathrm{MISSISSIPPI}\:\mathrm{are}\:\mathrm{written}\:\mathrm{down}\: \\ $$$$\mathrm{at}\:\mathrm{random}\:,\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{all}\:\mathrm{the}\:\mathrm{four}\:\mathrm{S}\:\mathrm{appear}\:\mathrm{consecutively}\:\mathrm{is}\:\_\_\_ \\ $$ Answered by bemath last updated on 12/Aug/20 $$\:\:\:\:\:\:\:\divideontimes\mathcal{B}{e}\mathcal{M}{ath}\divideontimes \\…