![]() ![]() The probability that a randomly chosen can of soda has a fill weight that is greater than 12.5 ounces is 1 minus the CDF at 12.5 (0.977), or approximately 0.023. The probability that a randomly chosen can of soda has a fill weight that is less than or equal to 11.5 ounces is the CDF at 11.5, or approximately 0.023. Use the CDF to determine the probability that a randomly chosen can of soda has a fill weight that is less than 11.5 ounces, greater than 12.5 ounces, or between 11.5 and 12.5 ounces. ![]() The CDF for fill weights at any specific point is equal to the shaded area under the PDF curve to the left of that point. The CDF provides the cumulative probability for each x-value. The probability density function (PDF) describes the likelihood of possible values of fill weight. For example, soda can fill weights follow a normal distribution with a mean of 12 ounces and a standard deviation of 0.25 ounces.
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