Help Please!
I need help finding what f(k,n,p) are. I know n=7 but the other two I am not sure..
@ganeshie8 Help...
\(\large P(X = k) = ~^nC_k~ p^k(1-p)^{n-k}\)
where, \(n\) : number of times experiment was conducted \(k\) : number of successes \(p\) : probability for success
plugin the values ?
I am unsure what the probability is in this problem =( is n=7?
\(n = 7\) \(p = \frac{1}{2}\)
\(\large P(X = 0) = ~^7C_0~ (\frac{1}{2})^0(1-\frac{1}{2})^{7-0} \) \(\large P(X = 1) = ~^7C_1~ (\frac{1}{2})^1(1-\frac{1}{2})^{7-1} \)
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 =)
np :) good luck ! you might consider doing this without using binomial theorem directly
ok ^.^
we can think of P(X = 0) like this : probability for not having any heads
which is same as probability for having all tails
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
binomial formula is just a compressed version of above calculation ^
Got it Thanks =)
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