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1. Consider a binomial random variable when the number of trials is 9 and the probability of success in each trial is 0.43. Find the

1. Consider a binomial random variable when the number of trials is 9 and the probability of success in each trial is 0.43. Find the mean and standard deviation of this random variable. 2. Define "type I error" in your own words. 3. When should the t-distribution be used? 4. How do we find the degrees of freedom when the t-distribution is used to estimate or test the mean of a sample from a single population? 5. If my p-value is 0.035 and my significance level is 0.05, what about the null hypothesis and the alternative hypothesis? Please also take this opportunity to discuss the course and comment on the chapters in the textbook.

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