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A production line produces two types of goods: A and B. The type of each produced good is chosen randomly (with probability 0.5 for each type), independently for each produced good. Each good of type A is defective with a probability of 1/40 . Each good of type B is defective with a probability of 3/40 .

(a)    Suppose that the production line is shut down immediately after 60 defective goods have been produced.i.                     Find the expectation for the total number of goods produced, proving any formula used (or giving a direct proof).i.                     Find the standard deviation for the number of non-defective goods produced (you may cite …
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Category Online Statistics
Paper Type Online Exam | Quiz | Test
Reference Type APA
Words 3100

Show that if a state in a communication class is either null-recurrent or positive recurrent or transient, every state shares the same property in the class.

A state “i” is recurrent if and only if And it is transient otherwise. The states are recurrent or transient and lie under the same communication class. Consider the communication class is C and all the states are are transient and recurrent. The process can be easily seen from the …
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Category Online Statistics
Paper Type Coursework Writing
Reference Type APA
Words 1850