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Question Number 111447 by mohammad17 last updated on 03/Sep/20

Commented by mohammad17 last updated on 03/Sep/20

$h e p m e s i r$
	Answered by Aziztisffola last updated on 03/Sep/20
	$1. X(Ω)={0;1;...;n} 2. a) X⇝B(5;(1/3)) p(X=k)= ((5),(k) ) ((1/3))^k ((2/3))^(5−k) k=0;1...5 b) p(X≥3)=p(X=3)+p(X=4)+p(X=5) d)E(X)=np=(5/3) V(X)=np(1−p)=(5/3)×(2/3)=((10)/9)$
	$1 . X (Ω) = {0; 1; . . .; n}$ $2 . a) X ⇝ B (5; \frac{1}{3})$ $p (X = k) = (\begin{matrix} 5 \\ k \end{matrix}) {(\frac{1}{3})}^{k} {(\frac{2}{3})}^{5 - k} k = 0; 1 . . . 5$ $b) p (X ⩾ 3) = p (X = 3) + p (X = 4) + p (X = 5)$ $d) E (X) = np = \frac{5}{3}$ $V (X) = np (1 - p) = \frac{5}{3} \times \frac{2}{3} = \frac{10}{9}$
	Commented by mohammad17 last updated on 03/Sep/20

	$t h a n k y o u s i r$
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