Now click on "Show standard normal curve" to see the equivalent shaded area when the blue curve is translated to the standard form.Drag the `x_1` and `x_2` sliders to change the portion of the curve for which you need to find the probability.Drag the `mu` and `sigma` sliders to change the mean and standard deviation, and to see the effect on the bell curve.NOTE: The values given in the probability calculations come from the z-table. Show standard normal curve Show standard deviations The green shaded area represents the probability of an event with mean μ, standard deviation σ occuring between x 1 and x 2, while the gray shaded area is the normalized case, where `mu=0` and `sigma = 1.` the starting and end points of the region of interest ( x 1 and x 2, the green dots).The standard deviation = σ (red dot, minimum value 0.2 for this graph), and.Instructionsĭrag any of the colored dots left or right to change the values of: We work out the probability of an event by first working out the z-scores (which refer to the distance from the mean in the standard normal curve) using the formulas shown. The gray curve on the left side is the standard normal curve, which always has mean = 0 and standard deviation = 1. The (colored) graph can have any mean, and any standard deviation. You can explore the concept of the standard normal curve and the numbers in the z-Table using the following applet. Normal Probability Distribution Graph Interactive
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