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Before finding this probability, the random variable x needs to be converted to the normal random variable z so that a table of probablibies 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 corverted, is the population mean, and e is the population standard deviation. z=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=15, rounding the result to two decimal places. z=x2 Thus, the new probability statement using the notmal random variable z is A{z5 We found P(z0.53)=0.7019 and P(z1.25)=0.6944. Subtract the smaller area from the larger area to find the requested probability, P(0.53z1.25). P(0.5321.25)=P(z1.25)P(z0.53)=0.8944