Probability and Statistics – Page 7

A-box-contains-4-black-5-white-and-6-red-shirts-3-are-drawn-from-the-box-one-after-the-other-without-replacement-Find-the-proability-that-two-of-the-same-color-and-one-a-different-color-

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Question Number 128103 by byaw last updated on 04/Jan/21 $A box contains 4 black 5 white$ $and 6 red shirts . 3 are drawn from$ $the box one after the other$ $without replacement . Find the$ $proability that two of the same$ $color and one a different color .$ Answered…

Question-61856

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Question Number 61856 by mr W last updated on 10/Jun/19 Commented by mr W last updated on 10/Jun/19 $p o i n t P i s r a n d o m l y s e l e c t e d i n a$ $t r i a n g l e w i t h s i d e l e n g t h e s a, b, c .$ $(1) f i n d t h e a v e r a g e v a l u e o f t h e s u m$ $${of}\:{distances}\:{from}\:{P}\:{to}\:{the}\:{vertexes}.…

3-2-cos-1-2-2-pi-2-1-4-sin-1-2-2pi-2-pi-2-tan-1-2-pi-

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Question Number 192622 by sg74656 last updated on 23/May/23 $\frac{3}{2} \cos^{- 1} \sqrt{\frac{2}{2 + π^{2}}} + \frac{1}{4} \sin^{- 1} \frac{2 \sqrt{2 π}}{2 + π^{2}} + \tan^{- 1} \frac{\sqrt{2}}{π}$ Answered by witcher3 last updated on 24/May/23 $$\mathrm{nice}\:\mathrm{one}\:\mathrm{tchek}\:\mathrm{please}\:\mathrm{the}\:\mathrm{expression}\:\mathrm{if}\:\mathrm{it}\:\mathrm{is}\:\mathrm{correct}…

Find-the-first-four-moment-of-the-binomial-distribution-

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Question Number 192376 by Spillover last updated on 16/May/23 $F i n d t h e f i r s t f o u r m o m e n t o f t h e$ $b i n o m i a l d i s t r i b u t i o n$ Terms of Service Privacy Policy Contact: info@tinkutara.com

The-probability-density-function-f-x-of-a-variable-x-is-given-by-f-x-kxsin-pix-0-x-1-0-for-all-value-of-x-Show-that-k-pi-and-deduce-that-mean-and-the-variance-of-the-distribution

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Question Number 192377 by Spillover last updated on 16/May/23 $T h e p r o b a b i l i t y d e n s i t y f u n c t i o n f (x)$ $o f a v a r i a b l e x i s g i v e n b y$ $f (x) = {\begin{cases} k x \sin π x 0 ⩽ x ⩽ 1 \\ 0 f o r a l l v a l u e o f x \end{cases}$ $S h o w t h a t k = π a n d d e d u c e t h a t m e a n$ $a n d t h e v a r i a n c e o f t h e d i s t r i b u t i o n a r e$ $(1 - \frac{4}{π^{2}}) a n d \frac{2}{π^{2}} (1 - \frac{8}{π^{2}})$ …

Show-that-E-Z-0-and-Var-Z-1-where-Z-is-the-standard-normal-variable-

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Question Number 192375 by Spillover last updated on 16/May/23 $S h o w t h a t E (Z) = 0 a n d V a r (Z) = 1 w h e r e$ $Z i s t h e s t a n d a r d n o r m a l v a r i a b l e$ Answered by mehdee42 last updated on 16/May/23 $W e k n o w ∵ Z = \frac{x - μ}{σ}$ $$\&\:\:{E}\left({kx}\right)={kE}\left({x}\right)\:\:\&\:\:{E}\left({x}+{k}\right)={E}\left({x}\right)+{k}\:\:;\:{k}\in\mathbb{R} \…

If-be-the-acute-angle-between-two-regression-line-in-the-case-of-two-variables-x-and-y-Show-that-tan-1-r-r-x-y-x-2-y-2-where-r-x-y-have-their-usual-meanings-Ex

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Question Number 192255 by Spillover last updated on 01/Feb/24 $I f θ b e t h e a c u t e a n g l e b e t w e e n t w o r e g r e s s i o n$ $l i n e i n t h e c a s e o f t w o v a r i a b l e s x a n d y$ $S h o w t h a t$ $\tan θ = \frac{1 - r}{r} . \frac{σ_{x} σ_{y}}{σ_{x}^{2} + σ_{y}^{2}}$ $${where}\:\:{r},\sigma_{{x}} ,\sigma_{{y}}…

Establish-the-formular-x-y-2-x-2-y-2-2r-x-y-where-by-r-is-the-correlation-coefficient-between-x-and-y-1-2-2024-

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Question Number 192254 by Spillover last updated on 01/Feb/24 $E s t a b l i s h t h e f o r m u l a r$ $σ_{x - y}^{2} = σ_{x}^{2} + σ_{y}^{2} - 2 r σ_{x} σ_{y}$ $w h e r e b y r i s t h e c o r r e l a t i o n$ $${coefficient}\:{between}\:{x}\:{and}\:{y} \…

given-points-a-b-where-a-b-R-how-to-get-the-best-fit-parabola-that-go-through-the-origin-and-open-downward-coefficient-of-x-2-is-negative-

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Question Number 192118 by Red1ight last updated on 08/May/23 $given points (a, b) where a, b \in R$ $how to get the best fit parabola that go through the origin$ $and open downward (coefficient of x^{2} is negative) ?$ Terms of Service Privacy Policy Contact: info@tinkutara.com

prove-that-0-1-

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Question Number 192112 by Spillover last updated on 08/May/23 $p r o v e t h a t . 0! = 1$ Commented by Frix last updated on 08/May/23 $I think {it}^{'} s defined 0! = 1$ ${There}^{'} s the idea of the “ Empty {Product}^{″}$ $$\:\:\:\:\:\mathrm{It}'\mathrm{s}\:\mathrm{obvious}\:\mathrm{that}\:\mathrm{the}\:“\mathrm{Empty}\:\mathrm{Sum}''=\mathrm{0} \…

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