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

Algebra.Com
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)   (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
RELATED QUESTIONS

A machine that manufactures automobile parts produces 15% defective parts 7 of the... (answered by Boreal)
A machine that manufactures automobile parts produces defective parts 13% of the time.... (answered by Boreal)
A machine that manufactures automobile parts produces defective parts 13% of the time.... (answered by reviewermath)
A machine that manufactures automobiles parts produces defective parts 11% of the... (answered by Boreal)
A machine that manufactures automobile parts is estimated to produce defective parts 8%... (answered by stanbon)
A machine that manufactures automobile parts is estimated to produce defective parts 6%... (answered by ewatrrr)
A machine that manufactures automobile parts is estimated to produce defective parts 6%... (answered by stanbon)
a machine that manufacturers automobile parts is estimated to produce defective parts 8%... (answered by stanbon)
Of the parts produced by a particular machine, 1.2% are defective. If a random sample of... (answered by rothauserc)