A 10 character sequence is generated by a random computer Each character is selected independently and uniformly at random from the set of all letters (both capital and lower case) and numbers That is a , b , , z A , B , , Z 0 , 1 , , 9 What is the probability that exactly 6 of the characters are digits What is the expected number of digits in a sequence What is the variance of the number of digits in a sequence

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Question: A 10 character sequence is generated by a random computer. Each character is selected independently and uniformly at random from the set of all letters

A 10 character sequence is generated by a random computer. Each character is selected independently and uniformly at random from the set of all letters (both capital and lower case) and numbers. That is {a,b,...,z}{A,B,...,Z}{0,1,...,9}.

What is the probability that exactly 6 of the characters are digits?
What is the expected number of digits in a sequence?
What is the variance of the number of digits in a sequence?

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