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A batch of parts contains 100 parts from a local supplier of tubingand 200 parts

ID: 2916159 • Letter: A

Question

A batch of parts contains 100 parts from a local supplier of tubingand 200 parts from a supplier

of tubing in the next state. (adapted from [Montgomery andRunger 1999])

a. If four parts are selected, at random and without replacement,what is the probability

they are all from the local supplier?

b. If six parts are selected, at random and without replacement,what is the probability

that at least three are from the local supplier?

c. If ten parts are selected, again randomly and withoutreplacement, what is the

probability that at least one is from the supplier in the nextstate?

Explanation / Answer


c.1-(100/300)(99/299)(98/298)(97/297)(96/296)(95/295)(94/294)(93/293)(92/292)(91/291)= 0.988