Question: 1. Suppose X is Binomial Random variable counting the number of successes in a Binomial experiment with eight trials and a probability of success

1. Suppose X is Binomial Random variable counting the number of successes in a Binomial experiment with eight trials and a probability of success of 0.4. a. Use the shorthand rule to fine the mean and variance of X. b. Verify your answers in part a by computing the mean and variance of X using the tabular method. 2. Consider the discrete random variable X that has the following probability mass function, complete the table and calculate the mean and variance of X. 3 If th Value Probability 0 0.1 1 0.2 3 ? 5 0.1 8 0.1 11 0.1 25 0.2

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