1. A lottery ticket pays off 300,000,000 pesos is made available for 10,000,000 tickets. Each ticket costs 50 pesos. Supposed the variable X gives the net winnings from playing the lottery. What is the expected gain for joining the lottery with only one ticket?
2. Randon samples with size 5 are drawn from the population containing the valies 26, 32, 41, 50, 58, and 60. Construct the distribution of the sample means, and what is the mean of the means?
3. Find the mean of the probability distribution involving the random variable X that gives the number of heads that appear after tossing four coins.
4. The probabilities that a printer produces 0, 1, 2, and 3 misprints are 42%, 28%, 18%, and 12%, respectively. Construct the probability Mass function and then compute the mean value of the random variable.
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