Assume that n = 13, and p = 3/9. Find the probability of at least 3 successes and at least 3 failures.

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Assume that n = 13, and p = 3/9. Find the probability of at least 3 successes and at least 3 failures.

Mathematics
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ok
I've tried two different methods but neither worked

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Other answers:

ok that is a binomial probability within a binomial probability i think. i need to think for this
hold up i might be wrong
ok
ok its binomial probability with parameters
have you seen this yet? or heard of it?
I dont think so
ok its a hard concept so let me see how i can explain it
wow im stumped... i cant explain it but do you have a ti-84 or higher?
i can show you haw to get the answer
um I don't because the professor doesn't allow calculators
O.O
omg
hes evil
imagine the test
im in stat 3 and we use computers
but we code our own calculations
ok thats tricky to do without a calculator
and i really dont have a pencil because im on my way home on the bus with my phone
nor paper
it's okay
sorry dude ask @ganeshie8 or @satellite73
I got the answer
ok cool how?
:D
i just want to see
I don't see how you can possibly do it with out using calculator http://www.wolframalpha.com/input/?i=%5Csum%5Climits_%7Bk%3D3%7D%5E%7B10%7D+%28%2813+choose+k%29*%283%2F9%29%5Ek+*+%286%2F9%29%5E%2813-k%29%29
lol same
basically do the Bernoulli trials for each one from 3-13 for both and then multiple them together to get .8611
it would be 2 separate probabilities
yeah then multiply them together
i think it would be two different answers because it is 2 different events
because both cant exist together
No because it says 3 success "and" 3 failures. Which in Finite math means multiply
but then where are the 8 trails go? if there aren't success not faliure
thats the thing
thats whats tricky because it creates a parameter
i know the answer but its really complex to get to without a calculator
is you did use the Bernoulli trials you would use 3-10 because you have to account for the "at least 3 faliures"
you there?
yeah
im guessing it would be around .86 just because i know
and i used a calculator
yeah
is that around what you got??
yeah i got .8611
yeah thats it
did you use a calculator??
or long math??
yeah calculator
ok cool
on the test he said to leave it as the setup to find the answer as the answer
ok thats cool
so do you get it??
yeah
alright dude goodnight then
night

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