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There are two types of errors type a error and type b error

A machine makes errors in a certain operation with probability p. There are two types of errors: type A error and type B error. The fraction of errors of type A is a, and the fraction of errors of type B is 1a.

a. What is the probability of k errors in n operations?

b. What is the probability of kA type A errors in n operations?

c. What is the probability of kB type B errors in n operations?

d. What is the probability of kA type A errors and kB type B errors in n operations?

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Mathematics: There are two types of errors type a error and type b error

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