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…
Question Number 6399 by sanusihammed last updated on 25/Jun/16 Commented by prakash jain last updated on 26/Jun/16 $$\mathrm{Question}\:\mathrm{is}\:\mathrm{not}\:\mathrm{clear}.\:\mathrm{Can}\:\mathrm{you}\:\mathrm{please}\:\mathrm{type}? \\ $$ Terms of Service Privacy Policy…
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Question Number 6098 by Rasheed Soomro last updated on 13/Jun/16 $$\mathrm{A}\:\mathrm{party}\:\mathrm{of}\:\:\mathrm{7}\:\:\:\mathrm{members}\:\mathrm{is}\:\mathrm{to}\:\mathrm{be}\:\mathrm{chosen} \\ $$$$\mathrm{from}\:\mathrm{a}\:\mathrm{group}\:\mathrm{of}\:\:\mathrm{6}\:\:\mathrm{ladies}\:\mathrm{and}\:\:\mathrm{5}\:\:\mathrm{gents}. \\ $$$$\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{the}\:\mathrm{party}\:\mathrm{be} \\ $$$$\mathrm{formed}\:\mathrm{if}\:\mathrm{it}\:\mathrm{is}\:\mathrm{to}\:\mathrm{contain} \\ $$$$\left(\mathrm{i}\right)\:\:\:\mathrm{exactly}\:\mathrm{4}\:\:\mathrm{ladies} \\ $$$$\left(\mathrm{i}\right)\:\:\:\mathrm{at}\:\mathrm{least}\:\mathrm{4}\:\:\mathrm{ladies} \\ $$$$\left(\mathrm{i}\right)\:\:\:\mathrm{at}\:\mathrm{most}\:\mathrm{4}\:\:\mathrm{ladies}\:? \\ $$…
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Question Number 5897 by sanusihammed last updated on 04/Jun/16 $${If}\:{four}\:{people}\:{all}\:{said}\:\:{HELLO}\:{to}\:{each}\:{other}\:{once}.\:{how}\:{many}\: \\ $$$${times}\:{would}\:{the}\:{word}\:\:{HELLO}\:\:{be}\:{spoken}\:? \\ $$ Answered by FilupSmith last updated on 04/Jun/16 $${person}\:\mathrm{1}\:{talks}\:{to}\:\mathrm{3}\:{people} \\ $$$${person}\:\mathrm{2}\:{talks}\:{to}\:\mathrm{2}\:{people} \\…
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