Is it Bernoulli? Determine if each trial can be considered an independent Bernoulli trial for the following situations.
(a) Cards dealt in a hand of poker.
(b) Outcome of each roll of a die.
Bernoulli, the mean. Use the probability rules from Section 3.4 to derive the mean of a Bernoulli random variable, i.e. a random variable X that takes value 1 with probability p and value 0 with probability 1− p. That is, compute the expected value of a generic Bernoulli random variable.
Bernoulli, the standard deviation. Use the probability rules from Section 3.4 to derive the standard deviation of a Bernoulli random variable, i.e. a random variable X that takes value 1 with probability p and value 0 with probability 1− p. That is, compute the square root of the variance of a generic Bernoulli random variable.
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