A machine makes errors in a certain operation with probability p. There are two types of errors. The fraction of errors that are
type 1 is α, and type 2 is 1 - α.(a) What is the probability of k errors in n operations?(b) What is the probability of k1 type 1 errors in n operations?(c) What is the probability of k2 type 2 errors in n operations?(d) What is the joint probability of k1 and k2 type 1 and 2 errors, respectively, in n operations?
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