1. Over the past 30 games between team A and team B, team A has won 14 times, team B has won 11 times and the game has ended in a draw 5 times. If these two teams played 9 games this season, what is the probability that team �� would win 5 games, team �� would win 3 games, and the remaining game would be a draw?
2. The formula for the standard error (standard deviation of the distribution of sample means) implies that as the sample size (n) increases, the size of the standard error decreases. Explain the role of the standard error in comparing the sample mean and the population mean. Use the definitions and concepts on sample means distribution and standard error and show examples comparing the sample mean and the population mean of a distribution when the standard error changes in value to express your answer.
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