You have information to suggest that a certain continuous variable of a population has a mean of = 11.97 and a standard deviation of = You are to randomly pick n = 78 individuals from this population and observe the value of the population variable on each. This value is to measured as X. After the random sample of n = 78 has been taken, you are asked to consider the behavior of the statistic X. (a) Complete the statement below. Use as many decimals as you can. 5.21. The distribution of X is approximately Normal with a mean x = 11.97 and a standard deviation = 0.589916334 (b) Find the probability that mean of the sample of n = 78 is between 11.37 and 12.27. Use at least four decimals in your z-values, and enter your answer to at least four decimals.