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Question Number 73707 by Faradtimmy last updated on 15/Nov/19 Commented by Faradtimmy last updated on 16/Nov/19 $${pls}\:{help}\:{me}\:{to}\:{solve}\:{it} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 139232 by Dwaipayan Shikari last updated on 24/Apr/21 $${A}\:{man}\:{has}\:'{n}'\:{pair}\:{of}\:{black}\:{shoes}\:{and}\:'{m}' \\ $$$${pairs}\:{of}\:{brown}\:{shoes}.\:{Man}\:{hurriedly}\:{wear} \\ $$$${two}\:{shoes}.\:{What}\:{is}\:{probability}\:{that}\:{both}\:{of} \\ $$$${them}\:{are}\:{black}? \\ $$ Commented by mr W last updated…
Question Number 73590 by mhmd last updated on 13/Nov/19 $${prove}\:{that}\:\left(_{{k}} ^{{n}+\mathrm{1}} \right)=\left(_{{k}} ^{{n}} \right)+\left(_{{n}−\mathrm{1}} ^{{n}} \right) \\ $$$${pleas}\:{sir}\:{help}\:{me}\:? \\ $$ Commented by Cmr 237 last…
Question Number 138960 by Dwaipayan Shikari last updated on 20/Apr/21 $${X}\:{and}\:{Y}\:{stand}\:{in}\:{a}\:{line},\:{at}\:{random}\:{with}\:\mathrm{10}\:{other}\:{peoples}. \\ $$$${What}\:{is}\:{the}\:{probability}\:{that}\:{there}\:{will}\:{be}\:{exactly}\:\mathrm{4}\:{persons}\: \\ $$$${between}\:{X}\:{and}\:{Y}? \\ $$ Commented by mr W last updated on 20/Apr/21…
Question Number 138763 by mathsuji last updated on 17/Apr/21 $${Make}\:{arbitrary}\:{movements}\:{between} \\ $$$${the}\:\mathrm{7}\:{people}\:{sitting}\:{around}\:{the}\:{table} \\ $$$${so}\:{that}\:{at}\:{least}\:{one}\:{of}\:{the}\:{people}\:{sitting} \\ $$$${next}\:{to}\:{you}\:{is}\:{not}\:{a}\:{Mathematician}.. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 7499 by Tawakalitu. last updated on 31/Aug/16 $${Let}\:{E}\:{be}\:{a}\:{banach}\:{space}\:,\:{Y}\:{is}\:{normed}\:{space}\:{and}\: \\ $$$${suppose}\:{that}\:\left\{{Ta}\::\:{a}\in{A}\right\}\:\subseteq\:\:{B}\:\left({E},\:{Y}\right)\:{If}\:\left\{{Tax}\::\:{a}\in{A}\right\} \\ $$$$\subseteq\:{Y}\:{is}\:{bounded}\:,\:{for}\:{all}\:{x}\in{E},\:{then}\:\left\{\parallel{Ta}\parallel\::\:{a}\in{A}\right\}\:{is}\: \\ $$$${bounded}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 6605 by WAI LIN last updated on 05/Jul/16 $${Let}\:{c}\:{be}\:{a}\:{constant}.\:{Using}\:{Var}\left({X}\right)\:=\:{E}\:\left[\left({X}−\:{E}\:\left[{X}\right]\right)^{\mathrm{2}} \right],\:{show}\:{that} \\ $$$$\left({a}\right)\:{Var}\left({c}\:{X}\right)\:=\:{c}^{\mathrm{2}} \:{Var}\left({X}\right); \\ $$$$\left({b}\right)\:{Var}\:\left(\:{c}+{X}\right)\:=\:{Var}\left({X}\right). \\ $$ Commented by prakash jain last updated…
Question Number 6604 by WAI LIN last updated on 05/Jul/16 $${If}\:{the}\:{density}\:{function}\:{of}\:{X}\:{equals} \\ $$$${f}\left({x}\right)\:=\:\begin{cases}{{c}\:{e}^{−\mathrm{2}{x}} \:,\:\mathrm{0}<{x}<\infty}\\{\mathrm{0}\:,\:\:\:\:\:\:\:\:\:\:{x}<\mathrm{0}}\end{cases} \\ $$$${find}\:{c}.\:{What}\:{is}\:{P}\left\{{X}>\mathrm{2}\right\}? \\ $$ Commented by prakash jain last updated on…
Question Number 6599 by WAI LIN last updated on 05/Jul/16 $${Prove}\:{that}\:\underset{{j}=\mathrm{1}} {\overset{{N}} {\sum}}\left({X}_{{j}} −\mathrm{1}\right)^{\mathrm{2}} \:=\underset{{j}=\mathrm{1}} {\overset{{N}} {\sum}}\:{X}_{{j}} ^{\mathrm{2}} \:−\:\mathrm{2}\:\underset{{j}=\mathrm{1}} {\overset{{N}} {\sum}}\:{X}_{{j}} \:+\:{N}. \\ $$ Answered…