Question

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

Answer 1

@Musicdude

Answer 2

ok

Answer 3

I've tried two different methods but neither worked

Answer 4

ok that is a binomial probability within a binomial probability i think. i need to think for this

Answer 5

hold up i might be wrong

Answer 6

ok

Answer 7

ok its binomial probability with parameters

Answer 8

have you seen this yet? or heard of it?

Answer 9

I dont think so

Answer 10

ok its a hard concept so let me see how i can explain it

Answer 11

wow im stumped... i cant explain it but do you have a ti-84 or higher?

Answer 12

i can show you haw to get the answer

Answer 13

um I don't because the professor doesn't allow calculators

Answer 14

O.O

Answer 15

omg

Answer 16

hes evil

Answer 17

imagine the test

Answer 18

im in stat 3 and we use computers

Answer 19

but we code our own calculations

Answer 20

ok thats tricky to do without a calculator

Answer 21

and i really dont have a pencil because im on my way home on the bus with my phone

Answer 22

nor paper

Answer 23

it's okay

Answer 24

sorry dude ask @ganeshie8 or @satellite73

Answer 25

I got the answer

Answer 26

ok cool how?

Answer 27

:D

Answer 28

i just want to see

Answer 29

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

Answer 30

lol same

Answer 31

basically do the Bernoulli trials for each one from 3-13 for both and then multiple them together to get .8611

Answer 32

it would be 2 separate probabilities

Answer 33

yeah then multiply them together

Answer 34

i think it would be two different answers because it is 2 different events

Answer 35

because both cant exist together

Answer 36

No because it says 3 success "and" 3 failures. Which in Finite math means multiply

Answer 37

but then where are the 8 trails go? if there aren't success not faliure

Answer 38

thats the thing

Answer 39

thats whats tricky because it creates a parameter

Answer 40

i know the answer but its really complex to get to without a calculator

Answer 41

is you did use the Bernoulli trials you would use 3-10 because you have to account for the "at least 3 faliures"

Answer 42

you there?

Answer 43

yeah

Answer 44

im guessing it would be around .86 just because i know

Answer 45

and i used a calculator

Answer 46

yeah

Answer 47

is that around what you got??

Answer 48

yeah i got .8611

Answer 49

yeah thats it

Answer 50

did you use a calculator??

Answer 51

or long math??

Answer 52

yeah calculator

Answer 53

ok cool

Answer 54

on the test he said to leave it as the setup to find the answer as the answer

Answer 55

ok thats cool

Answer 56

so do you get it??

Answer 57

yeah

Answer 58

alright dude goodnight then

Answer 59

night