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- https://stats.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame/BFE_1201_Statistical_Methods_for_Finance_(Kuter)/04%3A_Random_Variables/4.05%3A_Introduction_to_Continuous_Random_Variables/4.5.01%3A_Properties_of_Continuous_Probability_Density_FunctionsMathematically, the cumulative probability density function is the integral of the pdf, and the probability between two values of a continuous random variable will be the integral of the pdf between t...Mathematically, the cumulative probability density function is the integral of the pdf, and the probability between two values of a continuous random variable will be the integral of the pdf between these two values: the area under the curve between these values. \(P(c < X < d)\) is the probability that the random variable X is in the interval between the values c and d. \(P(c < X < d)\) is the area under the curve, above the x-axis, to the right of \(c\) and the left of \(d\).
- https://stats.libretexts.org/Courses/Fresno_City_College/Book%3A_Business_Statistics_Customized_(OpenStax)/05%3A_Continuous_Random_Variables/5.02%3A_Properties_of_Continuous_Probability_Density_FunctionsMathematically, the cumulative probability density function is the integral of the pdf, and the probability between two values of a continuous random variable will be the integral of the pdf between t...Mathematically, the cumulative probability density function is the integral of the pdf, and the probability between two values of a continuous random variable will be the integral of the pdf between these two values: the area under the curve between these values. \(P(c < x < d)\) is the probability that the random variable X is in the interval between the values c and d. \(P(c < x < d)\) is the area under the curve, above the x-axis, to the right of \(c\) and the left of \(d\).
- https://stats.libretexts.org/Courses/Fresno_City_College/Introduction_to_Business_Statistics_-_OER_-_Spring_2023/05%3A_Continuous_Random_Variables/5.02%3A_Properties_of_Continuous_Probability_Density_FunctionsMathematically, the cumulative probability density function is the integral of the pdf, and the probability between two values of a continuous random variable will be the integral of the pdf between t...Mathematically, the cumulative probability density function is the integral of the pdf, and the probability between two values of a continuous random variable will be the integral of the pdf between these two values: the area under the curve between these values. \(P(c < x < d)\) is the probability that the random variable X is in the interval between the values c and d. \(P(c < x < d)\) is the area under the curve, above the x-axis, to the right of \(c\) and the left of \(d\).
