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Category: Probability and Statistics

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 \\…

Question-171993

Question Number 171993 by Tawa11 last updated on 23/Jun/22 Commented by Tawa11 last updated on 23/Jun/22 $$\mathrm{A}\:\mathrm{soldier}\:\mathrm{fires}\:\mathrm{shots}\:\mathrm{from}\:\mathrm{his}\:\mathrm{rifle}\:\mathrm{and}\:\mathrm{he}\:\mathrm{is}\:\mathrm{expected}\:\mathrm{to}\:\mathrm{hit}\:\mathrm{a}\:\mathrm{target}\:\:\mathrm{5}\:\:\mathrm{out}\:\mathrm{of}\:\:\mathrm{6} \\ $$$$\mathrm{shots}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{soldier}\:\mathrm{fires}\:\mathrm{five}\:\mathrm{shots},\:\mathrm{find}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{he}\:\mathrm{will} \\ $$$$\left(\mathrm{a}\right)\:\:\mathrm{miss}\:\mathrm{each}\:\mathrm{time} \\ $$$$\left(\mathrm{b}\right)\:\:\mathrm{hit}\:\mathrm{the}\:\mathrm{target}\:\mathrm{thrice} \\ $$$$\left(\mathrm{c}\right)\:\:\mathrm{hit}\:\mathrm{the}\:\mathrm{target}\:\mathrm{at}\:\mathrm{most}\:\mathrm{twice}…

A-bag-contains-6-white-4-red-amp-10-black-balls-If-two-balls-are-drawn-at-random-what-is-the-probability-of-both-being-black-

Question Number 106405 by john santu last updated on 05/Aug/20 $$\mathrm{A}\:\mathrm{bag}\:\mathrm{contains}\:\mathrm{6}\:\mathrm{white},\:\mathrm{4}\:\mathrm{red}\:\&\:\mathrm{10} \\ $$$$\mathrm{black}\:\mathrm{balls}.\:\mathrm{If}\:\mathrm{two}\:\mathrm{balls}\:\mathrm{are}\:\mathrm{drawn} \\ $$$$\mathrm{at}\:\mathrm{random},\:\mathrm{what}\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{probability}\:\mathrm{of}\:\mathrm{both}\:\mathrm{being}\:\mathrm{black}\:? \\ $$ Answered by bemath last updated on…