A batch of parts contains 100 parts from a local supplier of tubing and 200 parts from a supplier of tubing in the next state. (adapted from [Montgomery and Runger 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 without replacement, what is the probability that at least one is from the supplier in the next state?
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