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Mathematics 10 Online
OpenStudy (anonymous):

Help Please!

OpenStudy (anonymous):

OpenStudy (anonymous):

I need help finding what f(k,n,p) are. I know n=7 but the other two I am not sure..

OpenStudy (anonymous):

@ganeshie8 Help...

ganeshie8 (ganeshie8):

\(\large P(X = k) = ~^nC_k~ p^k(1-p)^{n-k}\)

ganeshie8 (ganeshie8):

where, \(n\) : number of times experiment was conducted \(k\) : number of successes \(p\) : probability for success

ganeshie8 (ganeshie8):

plugin the values ?

OpenStudy (anonymous):

I am unsure what the probability is in this problem =( is n=7?

ganeshie8 (ganeshie8):

\(n = 7\) \(p = \frac{1}{2}\)

ganeshie8 (ganeshie8):

\(\large P(X = 0) = ~^7C_0~ (\frac{1}{2})^0(1-\frac{1}{2})^{7-0} \) \(\large P(X = 1) = ~^7C_1~ (\frac{1}{2})^1(1-\frac{1}{2})^{7-1} \)

OpenStudy (anonymous):

Alright, I always get confuse with finding the probability in word problems... But, Thank You I can now continue with the rest of my h.w =)

ganeshie8 (ganeshie8):

np :) good luck ! you might consider doing this without using binomial theorem directly

OpenStudy (anonymous):

ok ^.^

ganeshie8 (ganeshie8):

we can think of P(X = 0) like this : probability for not having any heads

ganeshie8 (ganeshie8):

which is same as probability for having all tails

ganeshie8 (ganeshie8):

since we're tossing it 7 times, probability for tails all 7 times = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = (1/2)^7

ganeshie8 (ganeshie8):

binomial formula is just a compressed version of above calculation ^

OpenStudy (anonymous):

Got it Thanks =)

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