Category: Probability and Statistics

Question Number 161575 by amin96 last updated on 19/Dec/21 $$\int_{\mathrm{0}} ^{\mathrm{9}} \frac{\sqrt{{x}}}{\mathrm{1}−{x}}{dx}=? \\ $$$$ \\ $$ Answered by mathmax by abdo last updated on 19/Dec/21…

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…

Question Number 94806 by i jagooll last updated on 21/May/20 Commented by mr W last updated on 21/May/20 $$\mathrm{120}\:{females}\:{from}\:\mathrm{200}\:{total}, \\ $$$$\Rightarrow\frac{\mathrm{120}}{\mathrm{200}}=\frac{\mathrm{3}}{\mathrm{5}} \\ $$ Commented by…

Question Number 94500 by i jagooll last updated on 19/May/20 $$\mathrm{what}\:\mathrm{is}\:\mathrm{E}\left(\mathrm{X}\right)\:\mathrm{if}\:\mathrm{the}\:\mathrm{joint} \\ $$$$\mathrm{density}\:\mathrm{function}\:\mathrm{of}\:\mathrm{X}\:\mathrm{and}\:\mathrm{Y}\: \\ $$$$\mathrm{is}\:\mathrm{given}\:\mathrm{f}\left(\mathrm{x},\mathrm{y}\right)\:=\:\begin{cases}{\mathrm{24xy}\:,\:\mathrm{0}<\mathrm{x}<\mathrm{1},\mathrm{0}<\mathrm{y}<\mathrm{1}−\mathrm{x}}\\{\mathrm{0}\:,\:\mathrm{elsewhere}}\end{cases} \\ $$ Answered by john santu last updated on 19/May/20…

Question Number 93610 by 675480065 last updated on 14/May/20 $$\int\left(\frac{\sqrt{\mathrm{x}^{\mathrm{n}} +\mathrm{1}}}{\mathrm{x}}\right)\mathrm{dx} \\ $$ Answered by 1549442205 last updated on 14/May/20 $$\mathrm{Put}\:\mathrm{1}+\mathrm{x}^{\mathrm{n}} =\mathrm{t}^{\mathrm{n}} \Rightarrow\mathrm{x}^{\mathrm{n}−\mathrm{1}} \mathrm{dx}=\mathrm{t}^{\mathrm{n}−\mathrm{1}} \mathrm{dt}.\mathrm{We}\:\mathrm{have}…