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Question

anonymous · Answer

and your questions is? .-.

anonymous · Answer

@Luigi0210 @Nnesha @ParthKohli

anonymous · Answer

@ganeshie8 think she wants you .-.

anonymous · Answer

The probability of finding a broken cookie in a bag of chocolate chip cookies is P= .03. Find the probability of getting at least 2 broken cookies in a bag containing 36 cookies.
A) .91
B) .294
C) .33
D) .06
@ganeshie8

ganeshie8 · Answer

binomial distribution

ganeshie8 · Answer

P(X>=2)  =  1 - P(X=0) + P(X=1)

ganeshie8 · Answer

do you know how to find P(X=0), the probabiltiy for getting 0 broken cookies ?

anonymous · Answer

no :/ i dont get this at all

ganeshie8 · Answer

thats ok
notice that probability for getting a broken cookie = 0.03
therefore probability for NOT getting a broken cookie = 0.97

yes ?

ganeshie8 · Answer

since we want  0  broken cookies :
P(X=0) = 0.97^36

anonymous · Answer

so its 0.33??

ganeshie8 · Answer

thats the probability for getting 0 broken cookies
but thats not the answer

anonymous · Answer

oh okay

ganeshie8 · Answer

next find the probabilty for getting 1 broken cookie

anonymous · Answer

ok what is next? how did u find .294?

ganeshie8 · Answer

did you get how we arrived at 0.33 for the probability of getting 0 broken cookies ?

anonymous · Answer

yes sir!

ganeshie8 · Answer

good, similarly see if you can find the probability of getting 1 broken cookie

ganeshie8 · Answer

give it a try

anonymous · Answer

I'm not sure.. i tried but i don't know how to get it

anonymous · Answer

@ganeshie8

ganeshie8 · Answer

1 broken cookie means, 35 unbroken cookies, yes ?

anonymous · Answer

yes

ganeshie8 · Answer

so the probability is 0.03*0.97^35

?

ganeshie8 · Answer

but wait, that broken cookie could be either 1st or 2nd or 3rd or... 36th
there are 36 ways it can happen so the probability for getting 1 broken cookie is actually  

36* 0.03*0.97^35

anonymous · Answer

okay so that will be 0.2?

ganeshie8 · Answer

try again, im getting 0.37 something

anonymous · Answer

i just want to know how u got .294

anonymous · Answer

yeah same.. i just rounded it

anonymous · Answer

0.4 i meant sorry

ganeshie8 · Answer

so the probability of getting at least 2 broken cookies is
$$\large 1-(.97^{36} + 36*0.03*0.97^{35})$$

anonymous · Answer

okay thank you so much!! appreciate it!