Which of the following about the binomial distribution is not a true statement? O The probability of success must be constant from trial to trial O Each outcome is independent of the other O Each outcome may be classified as either "success" or "failure" O The random variable of interest is continuousWhich of the following is true regarding the distribution of the sample mean for a large sample size? O It has the same shape, mean and standard deviation as the population O It has a normal distribution with the same mean and standard deviation as the population O It has the same shape and mean as the population, but has a smaller standard deviation O It has a normal distribution with the same mean as the population but with a smaller standard deviationSuppose a 95% confidence interval for u turns out to be (1,000, 2,100). Give a definition of what it means to be "95% confident" in an inference. O In repeated sampling, the population mean would fall in the given interval 95% of the time O In repeated sampling, 95% of the intervals constructed would contain the population mean O 95% of the observations in the entire population fall in the given interval O 95% of the observations in the sample fall in the given interval