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Category: Probability and Statistics

what-is-E-X-if-the-joint-density-function-of-X-and-Y-is-given-f-x-y-24xy-0-lt-x-lt-1-0-lt-y-lt-1-x-0-elsewhere-

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…

x-n-1-x-dx-

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}…

1-There-are-60-tickets-in-a-bag-numbered-1-through-60-If-a-ticket-is-picked-at-random-find-the-probability-that-the-number-is-divisible-by-3-or-4-

Question Number 27235 by das47955@mail.com last updated on 03/Jan/18 $$\left(\mathrm{1}\right)\:\:\boldsymbol{\mathrm{There}}\:\boldsymbol{\mathrm{are}}\:\mathrm{60}\:\boldsymbol{\mathrm{tickets}}\:\boldsymbol{\mathrm{in}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{bag}} \\ $$$$\boldsymbol{\mathrm{numbered}}\:\mathrm{1}\:\boldsymbol{\mathrm{through}}\:\mathrm{60}.\boldsymbol{\mathrm{If}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{ticket}}\: \\ $$$$\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{picked}}\:\boldsymbol{\mathrm{at}}\:\boldsymbol{\mathrm{random}},\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{the}}\: \\ $$$$\boldsymbol{\mathrm{probability}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{number}}\:\boldsymbol{\mathrm{is}} \\ $$$$\boldsymbol{\mathrm{divisible}}\:\boldsymbol{\mathrm{by}}\:\mathrm{3}\:\boldsymbol{\mathrm{or}}\:\mathrm{4}\:? \\ $$ Answered by Rasheed.Sindhi last updated…

if-two-dice-are-tossed-together-what-is-probability-of-sim-of-number-on-the-dice-being-an-even-number-

Question Number 26255 by jashandhillon@gmail.com last updated on 23/Dec/17 $${if}\:{two}\:{dice}\:{are}\:{tossed}\:{together}\:{what}\:{is}\:{probability}\:{of}\:{sim}\:{of}\:{number}\:{on}\:{the}\:{dice}\:{being}\:{an}\:{even}\:{number} \\ $$ Commented by Rasheed.Sindhi last updated on 23/Dec/17 $$\mathrm{Sum}\:\mathrm{of}\:\mathrm{two}\:\mathrm{numbers}\:\mathrm{is}\:\mathrm{even}\:\mathrm{if}: \\ $$$$\:\mathrm{either}\:\mathrm{both}\:\mathrm{numbers}\:\mathrm{are}\:\mathrm{even} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{or}\:\mathrm{both}\:\mathrm{numbers}\:\mathrm{are}\:\mathrm{odd}. \\…

1-In-a-single-throw-of-three-dice-find-the-probability-of-getting-a-total-of-i-4-ii-at-most-4-iii-atleast-4-

Question Number 25559 by das47955@mail.com last updated on 11/Dec/17 $$\left(\mathrm{1}\right)\:\mathrm{In}\:\mathrm{a}\:\mathrm{single}\:\mathrm{throw}\:\mathrm{of}\:\mathrm{three}\: \\ $$$$\mathrm{dice},\mathrm{find}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{of}\:\mathrm{getting} \\ $$$$\mathrm{a}\:\mathrm{total}\:\mathrm{of} \\ $$$$\left(\mathrm{i}\right)\:\mathrm{4} \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{at}\:\mathrm{most}\:\mathrm{4} \\ $$$$\left(\mathrm{iii}\right)\:\mathrm{atleast}\:\mathrm{4} \\ $$ Commented by prakash…