2 (10 points). The mean clutch size of Canada geese is 6 with standard deviation of 2 . I am sampling geese in groups of 100 nesting pairs each throughout the species' range. What will be the mean of sample means and the standard error of the means? When my kids take a bath, there is a 75% chance of them flooding the bathroom. In 2022 they took a bath 360 times. 3 (5 points). Can you approximate this binomial distribution with normal distribution? Why? 4 (5 points). If you do approximate this binomial distribution with normal distribution, what would be the mean and the standard deviation? 5 (20 points). If you do approximate this binomial distribution with normal distribution, what would be the probability of my kids flooding the bathroom 300 or more times in 2021 ?.