Probability and Statistics – Page 37

Question-146613

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Question Number 146613 by puissant last updated on 14/Jul/21 Answered by Olaf_Thorendsen last updated on 14/Jul/21 $Il suffit de demander a n^{'} importe$ $quel gardien “ Si je demandais a$ $l^{'} autre gardien quelle est la porte du$ $paradis, que me repondrait - il ?^{″}$ $$…

Question-146328

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Question Number 146328 by puissant last updated on 12/Jul/21 Answered by Olaf_Thorendsen last updated on 13/Jul/21 $Pour realiser l^{'} evenement E : “ a u c u n$ $a n n i v e r s a i r e l e m e m e {j o u r}^{″} prenons$ $une premiere personne . Son$ $anniversaire peut etre choisi parmi 365 .$ $$\mathrm{Puis}\:\mathrm{prenons}\:\mathrm{une}\:\mathrm{deuxieme}\:\mathrm{personne}.…

what-is-constan-term-in-expansion-1-3x-5-3-x-1-2-

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Question Number 80746 by jagoll last updated on 06/Feb/20 $w h a t i s c o n s t a n t e r m i n e x p a n s i o n$ ${(1 + 3 x)}^{5} {(\frac{3}{x} + 1)}^{2}$ Commented by jagoll last updated on 06/Feb/20 $${c}\left({x}\right)\:=\:\frac{\left(\mathrm{1}+\mathrm{3}{x}\right)^{\mathrm{5}} \left(\mathrm{3}+{x}\right)^{\mathrm{2}} }{{x}^{\mathrm{2}}…

Let-A-and-B-be-2-events-such-that-P-A-0-4-P-B-A-0-7-and-P-B-A-0-6-then-find-i-P-B-A-ii-P-A-B-iii-P-B-iv-P-A-B-

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Question Number 145869 by Ar Brandon last updated on 09/Jul/21 $Let A and B be 2 events such that P (A) = 0.4, P (\bar{B} / A) = 0.7$ $and P (B / \bar{A}) = 0.6, then find$ $(i) P (\bar{B} / \bar{A}) (i i) P (A \cap B) (i i i) P (B) (i v) P (A \cup B)$ Answered by gsk2684 last…

A-box-P-contains-4-white-2-green-and-3-blue-cards-Another-box-Q-contains-2-white-3-green-and-2-blue-cards-A-card-is-picked-at-random-from-P-and-placed-in-Q-A-card-is-then-picked-from-Q-

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Question Number 145831 by nadovic last updated on 08/Jul/21 $A box P, contains 4 white, 2 green and$ $3 blue cards . Another box Q, contains$ $2 white, 3 green and 2 blue cards . A card$ $is picked at random from P and placed$ $in Q . A card is then picked from Q .$ $Find the probability that the$ $(a) card picked from Q is white .$ $$\:\:\left({b}\right)\:\:\mathrm{cards}\:\mathrm{picked}\:\mathrm{from}\:\boldsymbol{{P}}\:\mathrm{and}\:\boldsymbol{{Q}}\:\mathrm{are}\:\mathrm{of} \…

let-X-1-and-X-2-be-independent-random-variable-of-uniform-distribution-If-it-is-known-that-X-i-uniform-0-1-and-let-S-X-1-X-2-Determine-the-Probability-density-function-from-S-

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Question Number 145678 by syamilkamil1 last updated on 07/Jul/21 $l e t X_{1} a n d X_{2} b e i n d e p e n d e n t r a n d o m v a r i a b l e$ $o f u n i f o r m d i s t r i b u t i o n . I f i t i s k n o w n t h a t$ $X_{i} \sim u n i f o r m (0, 1) a n d l e t S = X_{1} + X_{2}$ $D e t e r m i n e t h e P r o b a b i l i t y d e n s i t y f u n c t i o n$ $f r o m S!$ Terms…

the-probability-density-function-with-two-continous-random-variable-X-and-Y-is-a-follows-f-x-y-0-x-other-2x-2y-0-lt-x-lt-1-0-lt-y-lt-1-determine-the-correlation-coeffic

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Question Number 145674 by syamilkamil1 last updated on 07/Jul/21 $t h e p r o b a b i l i t y d e n s i t y f u n c t i o n w i t h t w o c o n t i n o u s r a n d o m$ $v a r i a b l e X a n d Y i s a f o l l o w s :$ $f (x, y) = {_{0, x o t h e r}^{2 x + 2 y, 0 < x < 1, 0 < y < 1}$ $d e t e r m i n e t h e c o r r e l a t i o n c o e f f i c i e n t$ $${between}\:{X}\:{and}\:{Y}! \…

the-probabilty-density-function-is-known-as-follows-f-x-0-x-other-cx-3-0-lt-x-lt-4-define-P-1-lt-x-lt-2-

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Question Number 145675 by syamilkamil1 last updated on 07/Jul/21 $t h e p r o b a b i l t y d e n s i t y f u n c t i o n$ $i s k n o w n a s f o l l o w s :$ $f (x) = {_{0, x o t h e r}^{{c x}^{3}, 0 < x < 4}$ $d e f i n e P (1 < x < 2)!$ $$…

une-urne-contient-N-boules-dont-M-boules-blanches-et-N-M-boule-noires-on-tire-successivement-et-sans-remise-n-boules-de-l-urne-soit-A-i-prelever-une-boules-noires-au-ieme-tirage-calculer-P-A-i-

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Question Number 145583 by ArielVyny last updated on 06/Jul/21 $u n e u r n e c o n t i e n t N b o u l e s d o n t$ $M b o u l e s b l a n c h e s e t N - M b o u l e n o i r e s$ $o n t i r e s u c c e s s i v e m e n t e t s a n s r e m i s e$ $n b o u l e s d e l^{'} u r n e .$ $s o i t A_{i} :^{″} p r e l e v e r u n e b o u l e s n o i r e s a u i e m e$ ${t i r a g e}^{″}$ $${calculer}\:{P}\left({A}_{{i}} \right) \…

Question-145557

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Question Number 145557 by puissant last updated on 06/Jul/21 Answered by Olaf_Thorendsen last updated on 06/Jul/21 $1)$ $$\mathrm{R}_{{n}} \left({x}\right)\:=\:\left(\mathrm{1}+{x}\right)^{{n}} \:=\:\underset{{k}=\mathrm{0}} {\overset{{n}} {\sum}}\mathrm{C}_{{n}} ^{{k}} {x}^{{k}}…

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