Before finding this probability the random variable x needs to be converted to the normal random variable z so that a table of probabilities can be used Recall the formula to convert an x value to the normal random variable z where x is the value that needs to be converted u is the population mean and is the population standard deviation Z x x The mean was given to be 14 4 and the standard deviation was given to be 4 4 Find the value of the z statistic corresponding to x 16 rounding the result to two decimal places 4 4 6 Thus the new probability statement using the normal random variable z is P Z