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Mathematics 15 Online
OpenStudy (anonymous):

Someone helped earlier with setting these up. Can someone solve this for me please???? what is the binomial probability of the following: P(X < 5) P(X less than or equal to 10) P(4 < X greater than or equal to 9) n=12 p=.3 q=.7 Someone help me solve these please

OpenStudy (amistre64):

what do you have to do calculations with? ti83 maybe?

OpenStudy (amistre64):

excel would also be useful ....

OpenStudy (amistre64):

P(0)+P(1)+P(2)+P(3)+P(4) might be cumbersome by hand

OpenStudy (anonymous):

sorry just got back I have both excel and ti

OpenStudy (anonymous):

not sure how to use them though

OpenStudy (amistre64):

ti is simply a function input ... 2nd, VARS, and pick the binomialcdf

OpenStudy (amistre64):

input: n,p,x

OpenStudy (amistre64):

in the case of x, you want to put in the biggest possible x; in the case of X < 5, the biggest is x=4 in the case of X <= 10, the biggest is 10

OpenStudy (anonymous):

ok what about the last example

OpenStudy (amistre64):

the last part you have to pretty much do 3 terms:

OpenStudy (amistre64):

P(4 < X greater than or equal to 9) (1 2 3 4 5 6 7 8) 9 10 11 12 x = 12: subtract x = 8: add in x=3

OpenStudy (anonymous):

in the first do I add all of them from 0 to four

OpenStudy (amistre64):

i mighta read that wrong; can you rewrite it?

OpenStudy (amistre64):

\[4\lt x\le9\] ???

OpenStudy (anonymous):

rewrite what?

OpenStudy (amistre64):

4 < X greater than or equal to 9 is rather hard to read thru

OpenStudy (anonymous):

\[4 < X \le 9\]

OpenStudy (amistre64):

ahh, then x = 9; and subtract off x=4 (0 1 2 3 4) 5 6 7 8 9

OpenStudy (amistre64):

binormalcdf(n,p,9) - binormalcdf(n,p,4)

OpenStudy (amistre64):

so: binom(n,p,4) binom(n,p,10) binom(n,p,9) - binom(n,p,4)

OpenStudy (anonymous):

that is for all 3?

OpenStudy (amistre64):

i hope so ....

OpenStudy (anonymous):

for the first one the calculator says .0013 and the answer in the book is 0.724?

OpenStudy (amistre64):

cdf, not pdf

OpenStudy (amistre64):

i get .732655... so you must have used the wrong function, or inputed a bad value

OpenStudy (anonymous):

now it says -.9998

OpenStudy (amistre64):

show me what your screen says

OpenStudy (amistre64):

binomcdf(12,.3,4)

OpenStudy (anonymous):

normalcdf(12, .3,4

OpenStudy (anonymous):

i see i didnt scroll down enough

OpenStudy (amistre64):

:)

OpenStudy (anonymous):

now it says .723655

OpenStudy (amistre64):

tada!!

OpenStudy (anonymous):

you got .732655

OpenStudy (amistre64):

yes, as i posted above

OpenStudy (anonymous):

why is mine one under yours?

OpenStudy (anonymous):

it says binomcdf ( 12, .3, 4) and the answer is .7236554696

OpenStudy (amistre64):

if your talking about the order of the posts ... its most likely a browser issue. i get .732655... so you must have used the wrong function, or inputed a bad value

OpenStudy (amistre64):

now rnd to 3 decies

OpenStudy (anonymous):

what do you get for the second

OpenStudy (amistre64):

alot of 9s

OpenStudy (anonymous):

mine too and it says the answer is .0002

OpenStudy (anonymous):

do i subtract the .9999 from 1?

OpenStudy (amistre64):

you can, but thats makes an odd reading of the x stuff to me

OpenStudy (anonymous):

how would they get .0002

OpenStudy (amistre64):

X less than or equal to 10 \[P(X\le 10)\]???

OpenStudy (anonymous):

yes

OpenStudy (amistre64):

P(0)+P(1)+P(2)+...+P(9)+P(10) is binomcdf(12,.3,10)

OpenStudy (amistre64):

which is about .9999

OpenStudy (amistre64):

subtracting from 1 gives us NOT the probability ....

OpenStudy (amistre64):

so make sure of the question

OpenStudy (anonymous):

\[P(X \ge 10)\]

OpenStudy (amistre64):

1 - binom(12,.3,9)

OpenStudy (amistre64):

.00020637...

OpenStudy (anonymous):

ok I see so when showing my work should I write out each equation?

OpenStudy (amistre64):

it would be useful yes

OpenStudy (anonymous):

so t

OpenStudy (anonymous):

so the first would be 0-4 right? the second would be 0-9 and the third would be 5-9?

OpenStudy (anonymous):

dont know sorry and thanks for all your help

OpenStudy (amistre64):

0 to 4 1, minus (0 to 9) (0 to 9), minus (0 to 4)

OpenStudy (anonymous):

ok thank you i am going to post another in a moment that you might be able to help with. I just need help with the second part

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