If 5% of the bolts made by an automotive factory are defective , what is the probability that in a shipment of 200 bolts, there are 15 defective bolts?

Question

If  5% of the bolts made by an automotive factory are defective , what is the probability that in a shipment of 200 bolts, there are 15 defective bolts?
Use the binomial probability formula
n=200    and   p = 0.05
a. 0.081
b. 0.034
c. 0.313
d. 0.054

Reiny · Accepted Answer

I read that as exactly 15 of the 200 to be defective
= C(200,15)( .05)^15 (.95)^185
= .0337.. or their answer of .034

Wow, those were some very large and very small numbers,
good thing my calculator has more than one memory location.

Emmilia · Answer

Yeah, is 15 defective, sorry for the question mark

Emmilia · Answer

Thank You!

R_scott · Answer

200C15 .95^185 .05^15