When a man writes a letter (and fixes his mistakes), he notices that on average 1 character out of 1000 is incorrect, the man proceeds to write a letter with 6000 characters Let X be the number of errors left in the text what is the distribution of X, the expected value of E X and the variance var X What is the probability that the text is completely correct What is the most likely number of errors What is the probability that there will be at least 10 errors

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Question: When a man writes a letter (and fixes his mistakes), he notices that on average 1 character out of 1000 is incorrect, the man proceeds

When a man writes a letter (and fixes his mistakes), he notices that on average 1 character out of 1000 is incorrect, the man proceeds to write a letter with 6000 characters.

Let X be the number of errors left in the text what is the distribution of X, the expected value of E[X] and the variance var[X]?
What is the probability that the text is completely correct?
What is the most likely number of errors?
What is the probability that there will be at least 10 errors?

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