To find the probability of a z-score, position the orange line at the appropriate z-score on the horizontal axis. The areas under the standard normalcurve to the left and right of the vertical line are displayed in blue and orange, respectively.(Hint: The standard normal distribution is symmetrical about the mean, the area under the curve to the left (and right) of the mean is 0.5. Therefore,the area that corresponds with Mean to z is computed as Larger Portion (Body or Tail) - 0.5.)Standard Normal DistributionMean = 0.0Standard Deviation = 1.0-3.00 -2.50 -2.00.5000-2.00 -1.50 -1.00 -0.50.50000.00 0.50 1.000.0001.50 2.00 2.503.00Z 3Many Aplia problems use the following Distributions tool. You can use this tool to retrieve the information that you would get from a distributions table.The advantage of the tool is that it allows you to see in two dimensions how changing parameters, such as the z-score, will affect the resultingprobabilities.Use the tool to complete the following table.Z0.100.651.251.60Body0.53980.89440.9452Tail0.46020.10560.0548BodyMean to z0.03980.39440.44520ZZ1.802.202.552.95TailBody0.96410.98610.9984Tail0.03590.01390.0016Mean to z0.46410.48610.4984

Let z be the standard normal variable with mean 0 and standard deviation 1. The given z score is…

To find the probability of a z-score, position the orange line at the appropriate z-score on the horizontal axis. The areas under the standard norma curve to the left and right of the vertical line are displayed in blue and orange, respectively. (Hint: The standard normal distribution is symmetrical about the mean, the area under the curve to the left (and right) of the mean is 0.5. Therefc the area that corresponds with Mean to z is computed as Larger Portion (Body or Tail) - 0.5.) Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0