SOLUTION: the army discovered that a recent shipment of grenades (both live and practice) had some labels inadvertently misapplied as to which case contained each kind. The manufacturer assu

Algebra ->  Probability-and-statistics -> SOLUTION: the army discovered that a recent shipment of grenades (both live and practice) had some labels inadvertently misapplied as to which case contained each kind. The manufacturer assu      Log On


   

Question 656958: the army discovered that a recent shipment of grenades (both live and practice) had some labels inadvertently misapplied as to which case contained each kind. The manufacturer assured them that only 3% of the cases were labeled wrong. In a sample of 8 cases, what is the probability that no cases were labeled wrong:

i am confused at the set up
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the army discovered that a recent shipment of grenades (both live and practice) had some labels inadvertently misapplied as to which case contained each kind. The manufacturer assured them that only 3% of the cases were labeled wrong. In a sample of 8 cases, what is the probability that no cases were labeled wrong:
-----------
Binomial Problem with n = 8 and p(wrong)= 0.08 ; p(right) = 0.92
-----
P(none of 8 labeled wrong) = 0.92^8 = 0.8508
===========================
Cheers,
Stan H.
===========================