Category: Probability and Statistics

Question Number 98201 by pranesh last updated on 12/Jun/20 Answered by Rio Michael last updated on 12/Jun/20 $$P\left(A\right)=0.4,P\left(B\right)=0.3,P(A\cup B)=0.6$$$$\mathrm{but}P(A\cup B)=P\left(A\right)+P\left(B\right)-P(A\cap B)$$$$\Rightarrow 0.6=0.4+0.3-P(A\cap B)$$$$\Rightarrow\:−\mathrm{0}.\mathrm{1}\:=\:−{P}\left({A}\:\cap\:{B}\right)\:\Rightarrow\:\:{P}\left({A}\:\cap\:{B}\right)\:=\:\mathrm{0}.\mathrm{1} \…

Question Number 97779 by mhmd last updated on 09/Jun/20 Commented by mhmd last updated on 09/Jun/20 $$helpmesir?$$ Terms of Service Privacy Policy Contact:…

Question Number 96947 by RAMANA last updated on 05/Jun/20 Commented by PRITHWISH SEN 2 last updated on 05/Jun/20 $$\mathrm{Total}\mathrm{sample}\mathrm{space}\mathrm{s}\left(\mathrm{n}\right)={\mathrm{C}}_3^{100}$$$$\mathrm{Number}\mathrm{of}\mathrm{favourable}\mathrm{cases}$$$$\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 96730 by Ar Brandon last updated on 04/Jun/20 $$\mathcal{A}\mathrm{third}\mathrm{of}\mathrm{a}\mathrm{population}\mathrm{has}\mathrm{been}\mathrm{vaccined}\mathrm{against}$$$$\mathrm{an}\mathrm{illness}.\mathcal{D}\mathrm{uring}\mathrm{the}\mathrm{pandemie}\mathrm{it}\mathrm{is}\mathrm{noticed}\mathrm{that};$$$$\mathrm{out}\mathrm{of}15\mathrm{patients},2\mathrm{have}\mathrm{been}\mathrm{vaccined}.$$$$\mathcal{A}\mathrm{ssuming}\mathrm{that}\mathrm{out}\mathrm{of}\mathrm{a}\mathrm{hundred}\mathrm{vaccined},8\mathrm{are}\mathrm{ill}.$$$$\mathcal{A}\mathrm{n}\mathrm{individual}\mathrm{is}\mathrm{choosen}\mathrm{at}\mathrm{random}\mathrm{from}\mathrm{this}\mathrm{population}.$$$$\mathcal{L}\mathrm{et}\mathbf{M}\mathrm{imply}\mathbf{the}\mathbf{individual}\mathbf{is}\mathbf{ill}\mathrm{and}\mathbf{V}\mathrm{imply}\mathbf{the}\mathbf{individual}$$$$\mathbf{has}\mathbf{been}\mathbf{vaccined}.$$$$\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)…

Question Number 161575 by amin96 last updated on 19/Dec/21 $${\int }_0^9\frac{\sqrt{x}}{1-x}dx=?$$$$$$ Answered by mathmax by abdo last updated on 19/Dec/21…