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Category: Probability and Statistics

0-e-x-cos-x-2-dx-Discuss-the-convergence-of-this-generalised-intergral-Please-help-

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-96947

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}}…

A-third-of-a-population-has-been-vaccined-against-an-illness-During-the-pandemie-it-is-noticed-that-out-of-15-patients-2-have-been-vaccined-Assuming-that-out-of-a-hundred-vaccined-8-

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)…

Given-data-1-3-3-5-5-5-5-8-9-10-10-12-find-the-value-of-quartile-1-st-

Question Number 160520 by cortano last updated on 01/Dec/21 $$\:\mathrm{Given}\:\mathrm{data}\::\:\mathrm{1},\mathrm{3},\mathrm{3},\mathrm{5},\mathrm{5},\mathrm{5},\mathrm{5},\mathrm{8},\mathrm{9},\mathrm{10},\mathrm{10},\mathrm{12} \\ $$$$\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{quartile}\:\mathrm{1}^{\mathrm{st}} \\ $$ Answered by chengulapetrom last updated on 01/Dec/21 $$\frac{\mathrm{3}+\mathrm{5}}{\mathrm{2}}=\frac{\mathrm{8}}{\mathrm{2}}=\mathrm{4} \\ $$ Terms…