Question Number 99230 by Ar Brandon last updated on 19/Jun/20 $$\ast\backslash\mathcal{I}\mathrm{n}\:\mathrm{a}\:\mathrm{certain}\:\mathrm{country},\:\mathrm{4}\:\mathrm{people}\:\mathrm{are}\:\mathrm{tested}\:\mathrm{positive}\:\mathrm{for}\:\mathrm{the}\:\mathrm{covid}−\mathrm{19}\:\mathrm{per}\:\mathrm{hour}. \\ $$$$\mathcal{D}\mathrm{etermine}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{in}\:\mathrm{an}\:\mathrm{hour}; \\ $$$$\mathrm{a}\backslash\mathrm{Exactly}\:\mathrm{2}\:\mathrm{people}\:\mathrm{are}\:\mathrm{contaminated} \\ $$$$\mathrm{b}\backslash\mathrm{At}\:\mathrm{most}\:\mathrm{one}\:\mathrm{person}\:\mathrm{is}\:\mathrm{contaminated}. \\ $$$$\mathrm{c}\backslash\mathrm{Between}\:\mathrm{2}\:\mathrm{and}\:\mathrm{5}\:\mathrm{people}\:\mathrm{are}\:\mathrm{contaminated}. \\ $$ Commented by john santu…
Question Number 99229 by Ar Brandon last updated on 19/Jun/20 $$\ast\backslash\:\mathcal{I}\mathrm{n}\:\mathrm{the}\:\mathrm{fight}\:\mathrm{against}\:\mathrm{covid}−\mathrm{19},\:\mathrm{the}\:\mathrm{probability}\:\mathrm{of}\:\mathrm{finding}\:\mathrm{an}\:\mathrm{individual} \\ $$$$\:\:\:\:\:\mathrm{with}\:\mathrm{signs}\:\mathrm{of}\:\mathrm{allergy}\:\mathrm{during}\:\mathrm{the}\:\mathrm{injection}\:\mathrm{of}\:\mathrm{chloroquine}\:\mathrm{is}\:\mathrm{assumed}\:\mathrm{to}\:\mathrm{be}\:\mathrm{0}.\mathrm{2} \\ $$$$\:\:\:\:\:\mathcal{F}\mathrm{or}\:\mathrm{a}\:\mathrm{selection}\:\mathrm{of}\:\mathrm{10}\:\mathrm{people},\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}; \\ $$$$\mathrm{a}\backslash\mathcal{A}\mathrm{t}\:\mathrm{least}\:\mathrm{3}\:\mathrm{people}\:\mathrm{show}\:\mathrm{signs}\:\mathrm{of}\:\mathrm{this}\:\mathrm{allergy}. \\ $$$$\mathrm{b}\backslash\mathrm{Between}\:\mathrm{3}\:\mathrm{and}\:\mathrm{5}\:\mathrm{people}\:\mathrm{present}\:\mathrm{these}\:\mathrm{signs}. \\ $$$$\mathrm{c}\backslash\mathcal{D}\mathrm{etermine}\:\mathrm{the}\:\mathrm{mathematical}\:\mathrm{expectation}\:\mathrm{and}\:\mathrm{the}\:\mathrm{standard}\:\mathrm{deviation}. \\ $$ Terms of…
Question Number 98201 by pranesh last updated on 12/Jun/20 Answered by Rio Michael last updated on 12/Jun/20 $${P}\left({A}\right)\:=\:\mathrm{0}.\mathrm{4},\:{P}\left({B}\right)\:=\:\mathrm{0}.\mathrm{3}\:,\:{P}\left({A}\:\cup\:{B}\right)\:=\:\mathrm{0}.\mathrm{6} \\ $$$$\mathrm{but}\:{P}\left({A}\:\cup\:{B}\right)\:=\:{P}\left({A}\right)\:+\:{P}\left({B}\right)−{P}\left({A}\:\cap\:{B}\right) \\ $$$$\Rightarrow\:\mathrm{0}.\mathrm{6}\:=\:\mathrm{0}.\mathrm{4}\:+\:\mathrm{0}.\mathrm{3}−{P}\left({A}\:\cap\:{B}\right) \\ $$$$\Rightarrow\:−\mathrm{0}.\mathrm{1}\:=\:−{P}\left({A}\:\cap\:{B}\right)\:\Rightarrow\:\:{P}\left({A}\:\cap\:{B}\right)\:=\:\mathrm{0}.\mathrm{1} \\…
Question Number 98142 by Ar Brandon last updated on 11/Jun/20 $$\mathcal{A}\:\mathrm{man}\:\mathrm{arrives}\:\mathrm{at}\:\mathrm{a}\:\mathrm{bus}\:\mathrm{stop}\:\mathrm{in}\:\mathrm{between}\:\mathrm{12}:\mathrm{00pm}\:\mathrm{and} \\ $$$$\mathrm{12}:\mathrm{15pm}.\:\mathrm{Assuming}\:\mathrm{a}\:\mathrm{bus}\:\mathrm{arrives}\:\mathrm{the}\:\mathrm{bus}\:\mathrm{stop}\:\mathrm{every} \\ $$$$\mathrm{15}\:\mathrm{minutes},\:\mathrm{find}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{of}\:\mathrm{him}\:\mathrm{getting}\:\mathrm{a}\:\mathrm{bus}\:\mathrm{in} \\ $$$$\mathrm{less}\:\mathrm{than}\:\mathrm{5}\:\mathrm{minutes}. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 97779 by mhmd last updated on 09/Jun/20 Commented by mhmd last updated on 09/Jun/20 $${help}\:{me}\:{sir}\:? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 97563 by 675480065 last updated on 08/Jun/20 $$\int_{\mathrm{0}} ^{+\infty} \mathrm{e}^{−\mathrm{x}} \mathrm{cos}\left(\mathrm{x}^{\mathrm{2}} \right)\mathrm{dx}. \\ $$$$\mathrm{Discuss}\:\mathrm{the}\:\mathrm{convergence}\:\mathrm{of}\:\mathrm{this}\: \\ $$$$\mathrm{generalised}\:\mathrm{intergral}. \\ $$$$\mathrm{Please}\:\mathrm{help} \\ $$ Answered by mathmax…
Question Number 96947 by RAMANA last updated on 05/Jun/20 Commented by PRITHWISH SEN 2 last updated on 05/Jun/20 $$\mathrm{Total}\:\mathrm{sample}\:\mathrm{space}\:\mathrm{s}\left(\mathrm{n}\right)=\mathrm{C}_{\mathrm{3}} ^{\mathrm{100}} \\ $$$$\mathrm{Number}\:\mathrm{of}\:\mathrm{favourable}\:\mathrm{cases} \\ $$$$\boldsymbol{\mathrm{common}}\:\boldsymbol{\mathrm{ratio}}\:\:\:\:\mathrm{1}^{\boldsymbol{\mathrm{st}}} \:\boldsymbol{\mathrm{term}}\:\boldsymbol{\mathrm{ranges}}\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{No}}.\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{cases}}…
Question Number 96780 by mr W last updated on 04/Jun/20 Commented by mr W last updated on 04/Jun/20 $${nobody}\:{understands}? \\ $$ Commented by mathmax by…
Question Number 96730 by Ar Brandon last updated on 04/Jun/20 $$\:\:\:\:\:\:\mathcal{A}\:\mathrm{third}\:\mathrm{of}\:\mathrm{a}\:\mathrm{population}\:\mathrm{has}\:\mathrm{been}\:\mathrm{vaccined}\:\mathrm{against} \\ $$$$\mathrm{an}\:\mathrm{illness}.\:\mathcal{D}\mathrm{uring}\:\mathrm{the}\:\mathrm{pandemie}\:\mathrm{it}\:\mathrm{is}\:\mathrm{noticed}\:\mathrm{that}; \\ $$$$\mathrm{out}\:\mathrm{of}\:\mathrm{15}\:\mathrm{patients},\:\mathrm{2}\:\mathrm{have}\:\mathrm{been}\:\mathrm{vaccined}. \\ $$$$\:\:\:\:\:\:\:\mathcal{A}\mathrm{ssuming}\:\mathrm{that}\:\mathrm{out}\:\mathrm{of}\:\mathrm{a}\:\mathrm{hundred}\:\mathrm{vaccined},\:\mathrm{8}\:\mathrm{are}\:\mathrm{ill}. \\ $$$$\mathcal{A}\mathrm{n}\:\mathrm{individual}\:\mathrm{is}\:\mathrm{choosen}\:\mathrm{at}\:\mathrm{random}\:\mathrm{from}\:\mathrm{this}\:\mathrm{population}. \\ $$$$\mathcal{L}\mathrm{et}\:\boldsymbol{\mathrm{M}}\:\mathrm{imply}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{individual}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{ill}}\:\mathrm{and}\:\boldsymbol{\mathrm{V}}\:\mathrm{imply}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{individual}} \\ $$$$\boldsymbol{\mathrm{has}}\:\boldsymbol{\mathrm{been}}\:\boldsymbol{\mathrm{vaccined}}. \\ $$$$\mathrm{1}\backslash\:\mathcal{D}\mathrm{etermine}\:\mathrm{the}\:\mathrm{probabilities}:\:\mathrm{P}\left(\mathrm{V}\right);\:\mathrm{P}\left(\mathrm{V}/\mathrm{M}\right)\:\mathrm{and}\:\mathrm{P}\left(\mathrm{M}/\mathrm{V}\right)…
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