In: Statistics and Probability
A heavy equipment manufacturer procures an Anti-lock Braking System (ABS) from two suppliers, Movis and Telphi, to reduce the risk of supply chain disruption. Movis supplied 100 ABSs last month, while Telphi did 150 ABSs last month. The manufacturer selected ten ABS samples and conducted an inspection.
(a) What is the probability that no ABSs from Movis is selected in the ten ABS samples?
(b) What is the probability that at least one ABSs from Movis are selected in the ten ABS samples?
(c) Assuming that both suppliers have the same defective rate of 0.01, what is the Probability that there is only one defective out of the 10 ABS samples?