However, the probability that X is exactly equal to some value is always zero because the area under the curve at a single point, which has no width, is zero. The entire area under the curve equals 1.0. ![]() The area of this range is 0.136 therefore, the probability that a randomly selected man weighs between 160 and 170 pounds is 13.6%. ![]() The shaded region under the curve in this example represents the range from 160 and 170 pounds. Distribution plot of the weight of adult males For example, you can calculate the probability that a man weighs between 160 and 170 pounds. The continuous normal distribution can describe the distribution of weight of adult males.
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