SOLUTION: a study indicates that 4% of american teenagers have tattoos. if you randomly sample 30 teenagers what is the probability at most 3 teenagers will have tattoos?

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Question 668436: a study indicates that 4% of american teenagers have tattoos. if you randomly sample 30 teenagers what is the probability at most 3 teenagers will have tattoos?
Found 2 solutions by Edwin McCravy, ewatrrr:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
a study indicates that 4% of american teenagers have tattoos. if you randomly sample 30 teenagers what is the probability at most 3 teenagers will have tattoos?
On your TI-84

Press 2ND VARS ALPHA APPS

You'll see this:

          binomcdf
trials:
p:
x value:
Paste

Make that screen read:

          binomcdf
trials:30
p:.04
x value:3
Paste

Scroll down to Paste
Press ENTER 

You'll see this:

binomcdf(30,.04,
3)

Press ENTER again

You'll see

     .9694071153

That's the answer.  

[Note: If you have an old version of TI-84, you have to
make it read:  binomcdf(30,.04,3)  then press ENTER]



Edwin

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

a study indicates that 4% of american teenagers have tattoos. 

if you randomly sample 30 teenagers  

what is the probability at most 3 teenagers will have tattoos?

bionomial Probability distribution: P = nCxp%5Ex%2Aq%5E%28n-x%29 , p = .04, q = .96  and n = 30 

P (x ≤ 3) = P(x=0)+ P(x=1)+  P(x=2) +  P(x=3) = .9694