SOLUTION: A machine that manufactures automobile parts produces 15% defective parts of the time. If 7 parts produced by this machine are randomly selected, what is the probability that

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Question 1138543: A machine that manufactures automobile parts produces 15% defective parts
of the time. If 7
parts produced by this machine are randomly selected, what is the probability that fewer than
3 of the parts are defective?

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

"Fewer than 3" means "2 or fewer".

On a TI-83 or TI-84 
press 2ND VARS, 
scroll down to binomcdf( 
press ENTER

Newer TI calculators have more features than older ones,
but all boil down to the same, I,e., binomcdf(7,0.15,2)

trials = 7, 
the probability p of 1 success in 1 trial is 0.15,
The x value of the number of desired successes or fewer is 2,

If you see "Paste", highlight it and click ENTER, otherwise  

make sure your calculator reads

binomcdf(7,0.15,2)

Then click ENTER and read the answer:

0.9262348399

[Note: if you got 0.2096507602, you scrolled to "binompdf(" not 
"binomcdf(", which gave the probability of EXACTLY 2 successes,
not 2 or fewer.]

Edwin