SOLUTION: A shipment of 9 typewriters contains 3 that are defective.Find the probability that a sample of size four, drawn from the nine, will not contain a defective typewriter.

Algebra ->  Probability-and-statistics -> SOLUTION: A shipment of 9 typewriters contains 3 that are defective.Find the probability that a sample of size four, drawn from the nine, will not contain a defective typewriter.      Log On


   



Question 507256: A shipment of 9 typewriters contains 3 that are defective.Find the probability that a sample of size four, drawn from the nine, will not contain a defective typewriter.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A shipment of 9 typewriters contains 3 that are defective.Find the probability that a sample of size four, drawn from the nine, will not contain a defective typewriter.
-----
Binomial Problem with n = 4 and P(defect) = 1/3 : p(no defect) = 2/3
-------
P(4 will not contain a defective) = 1 - P(all good) = 1 - 6C4/9C4
---
= 1 - 0.1190
---
= 0.8810
===============
Cheers,
Stan H.
===============