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Mathematics 17 Online
OpenStudy (anonymous):

really confused..please help? picture attached:)

OpenStudy (anonymous):

OpenStudy (anonymous):

@amistre64

OpenStudy (anonymous):

@ganeshie8

ganeshie8 (ganeshie8):

Is this question from probability ?

OpenStudy (anonymous):

i think so..?

ganeshie8 (ganeshie8):

\[ (p+q)^n = \sum \limits_{k=1}^n ~^nC_k p^{n-k}q^{k}\]

ganeshie8 (ganeshie8):

Oh, then im not sure of the binomial distribution in probability @amistre64

OpenStudy (ranga):

If p =0.3, q = 1 - p = 1 - 0.3 = 0.7 n = 5 Plug in the numbers above.

OpenStudy (anonymous):

what do I do after i plug in the numbers?

OpenStudy (ranga):

The Probability of getting EXACTLY "r" successes, P(r), out of "n" trails is: \[P(r) = ~^nC_rp^{r}q^{n-r}~;~~~~n = 5; ~~p = 0.3; ~~q = 0.7\\P(r) = ~^{5}C_r(0.3)^{r}(0.7)^{5-r}\\P(0) = ~^{5}C_0(0.3)^{0}(0.7)^{5-0} = ~?\\P(1) = ~^{5}C_1(0.3)^{1}(0.7)^{5-1} =~ ?\\P(2) = ~^{5}C_2(0.3)^{2}(0.7)^{5-2} =~ ?\\P(3) = ~^{5}C_3(0.3)^{3}(0.7)^{5-3} =~ ?\\P(4) = ~^{5}C_4(0.3)^{4}(0.7)^{5-4} =~ ?\\P(5) = ~^{5}C_5(0.3)^{5}(0.7)^{5-5} =~ ?\]That will be the binomial distribution for the given data.

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