Consider a sequence of Bernoulli trials with probability of

Consider a sequence of Bernoulli trials with probability of \"success\" p. Suppose that in each trial you earn $1 if the outcome is \"success\", whereas you pay $1 if the outcome is \"failure\". Let Sn your profit after n trials. What is your expected profit after n trials? Suppose that n is odd and find P(Sn = 0). Is Sn a Binomial random variable?

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