The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.For a sample of n=65​, find the...

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n=65​, find the probability of a sample mean being greater than 213 if μ=212 and σ=3.5. For a sample of n=65​, the probability of a sample mean being greater than 213 if μ=212 and σ=3.5 is 77. ​(Round to four decimal places as​ needed.) Would the given sample mean be considered​ unusual? The sample mean would would would not be considered unusual because it does not lie lies does not lie within the range of a usual​ event, namely within 2 standard deviations 1 standard deviation 2 standard deviations 3 standard deviations of the mean of the sample means.