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Author: Tinku Tara

Suppose-that-X-and-Y-have-a-discrete-joint-distribution-for-which-the-joint-p-f-is-defined-as-follows-f-x-y-c-x-y-for-x-2-1-0-1-2-and-y-2-1-0-1-2-0-other-wise-Determine-a

Question Number 75524 by mhmd last updated on 12/Dec/19 $${Suppose}\:{that}\:{X}\:{and}\:{Y}\:{have}\:{a}\:{discrete}\:{joint}\:{distribution}\:{for}\:{which}\:{the}\:{joint}\:{p}.{f}\:\:{is}\:{defined}\:{as}\:{follows}\: \\ $$$${f}\left({x},{y}\right)=\left\{\:{c}\mid{x}+{y}\mid\:{for}\:{x}=−\mathrm{2},−\mathrm{1},\mathrm{0},\mathrm{1},\mathrm{2}\:{and}\:{y}=−\mathrm{2},−\mathrm{1},\mathrm{0},\mathrm{1},\mathrm{2}\right. \\ $$$$\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{other}\:{wise} \\ $$$${Determine}\:\left({a}\right)\:{the}\:{value}\:{of}\:{the}\:{constant}\:{of}\:{c} \\ $$$$\left({b}\right)\:{pr}\left({X}=\mathrm{0}\:{and}\:{Y}=−\mathrm{2}\right) \\ $$$$\left({e}\right)\:{pr}\left({X}=\mathrm{1}\right) \\ $$$$\left({d}\right)\:{pr}\left(\mid{x}−{y}\mid\leqslant\mathrm{1}\right) \\ $$$${pleas}\:{sir}\:{help}\:{me} \\…

x-1-x-3-x-3-4x-2-2x-3-

Question Number 9989 by konen last updated on 20/Jan/17 $$\mathrm{x}−\frac{\mathrm{1}}{\mathrm{x}}=\mathrm{3}\:\Rightarrow\mathrm{x}^{\mathrm{3}} −\mathrm{4x}^{\mathrm{2}} +\mathrm{2x}−\mathrm{3}=? \\ $$ Answered by mrW1 last updated on 20/Jan/17 $$\mathrm{x}−\frac{\mathrm{1}}{\mathrm{x}}=\mathrm{3} \\ $$$$\Rightarrow{x}^{\mathrm{2}} −\mathrm{3}{x}−\mathrm{1}=\mathrm{0}…

a-b-Z-a-3-b-3-19-a-b-

Question Number 9988 by konen last updated on 20/Jan/17 $$\mathrm{a},\mathrm{b}\in\mathrm{Z}^{+} \\ $$$$\mathrm{a}^{\mathrm{3}} −\mathrm{b}^{\mathrm{3}} =\mathrm{19}\:\:\:\Rightarrow\:\mathrm{a}.\mathrm{b}=? \\ $$ Answered by mrW1 last updated on 20/Jan/17 $${since}\:\mathrm{4}^{\mathrm{3}} −\mathrm{3}^{\mathrm{3}}…

Nice-Calculus-prove-that-x-n-1-a-n-sin-nx-n-e-acos-x-sin-asin-x-m-n-

Question Number 141057 by mnjuly1970 last updated on 15/May/21 $$ \\ $$$$\:\:\:\:\:\:\:…..\mathscr{N}{ice}\:……\:\:……\mathscr{C}{alculus}….. \\ $$$$\:\:\:{prove}\:{that}: \\ $$$$\:\Omega\left({x}\right):=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}{a}^{{n}} .\frac{{sin}\left({nx}\right)}{{n}!}={e}^{{acos}\left({x}\right)} {sin}\left({asin}\left({x}\right)\right) \\ $$$$\:\:\:….{m}.{n} \\ $$ Answered…

Find-the-angle-between-the-lines-whose-direction-cosines-are-given-by-l-m-n-0-and-l-2-m-2-n-2-0-

Question Number 75521 by vishalbhardwaj last updated on 12/Dec/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{between}\:\mathrm{the}\:\mathrm{lines} \\ $$$$\mathrm{whose}\:\mathrm{direction}\:\mathrm{cosines}\:\mathrm{are}\:\mathrm{given} \\ $$$$\mathrm{by}\:{l}+{m}+{n}\:=\:\mathrm{0}\:\mathrm{and}\:{l}^{\mathrm{2}} +{m}^{\mathrm{2}} −{n}^{\mathrm{2}} \:=\:\mathrm{0}\:?? \\ $$ Commented by mr W last updated…