Suppose that the age of students at Kit Carson Elementary school is uniformly distributed between 5 and 11 years old. 44 randomly selected children from the school are asked their age. a. Complete the following concerning the distribution of X. i. X- ? ( Hint: The parameters for a uniform distribution is not the mean and standard deviation but the min and max. ii. What is the population mean for X? Do not round your answer. iii. What is the population standard deviation for X? decimal places Round your answer to four b. Complete the following concerning the distribution of X. Assume that samples of size 44 are taken from X. Check off the following that are true. At least one must be true. i. X - ? ( On > 30 X is normally distributed Round the standard error of the mean to four decimal places ii. What is the probability that the average of 44 children will be between 7.4 and 7.9 years old? Round your answer to four decimal places 7.22 7.4 7418 7.48 7.74 8 7.9 8.26 8.52 + 8.72 182 X