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Let X1,X2,X3,...,Xn be independent Bernoulli random variables with p.pdf

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Let X1,X2,X3,...,Xn be independent Bernoulli random variables with parameter p. These form a list of 0’s and 1’s of length n. Let Z be the number of times that a 0 is followed by a 1 in the sequence, find EZ. Solution since Z is the number of time that a 0 is followed by a 1 in the senquences and we know that in a bernoulli random variables with parameter p we have p= 1 and q = 0 so expected value for Z will be 0.5.

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Let X1,X2,X3,...,Xn be independent Bernoulli random variables with parameter p. These form a list of 0’s and 1’s of length n. Let Z be the number of times that a 0 is followed by a 1 in the sequence, find EZ. Solution since Z is the number of time that a 0 is followed by a 1 in the senquences and we know that in a bernoulli random variables with parameter p we have p= 1 and q = 0 so expected value for Z will be 0.5

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  • 1. Let X1,X2,X3,...,Xn be independent Bernoulli random variables with parameter p. These form a list of 0’s and 1’s of length n. Let Z be the number of times that a 0 is followed by a 1 in the sequence, find EZ. Solution since Z is the number of time that a 0 is followed by a 1 in the senquences and we know that in a bernoulli random variables with parameter p we have p= 1 and q = 0 so expected value for Z will be 0.5