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- https://stats.libretexts.org/Courses/Fresno_City_College/Book%3A_Business_Statistics_Customized_(OpenStax)/04%3A_Discrete_Random_Variables/4.08%3A_Chapter_Key_ItemsThe formula for this presentation of the geometric is: \(P(X=x)=p(1-p)^{x}\) The expected value in this form of the geometric distribution is \(\mu=\frac{1-p}{p}\) The easiest way to keep these two fo...The formula for this presentation of the geometric is: \(P(X=x)=p(1-p)^{x}\) The expected value in this form of the geometric distribution is \(\mu=\frac{1-p}{p}\) The easiest way to keep these two forms of the geometric distribution straight is to remember that p is the probability of success and \((1−p)\) is the probability of failure.
- https://stats.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame/BFE_1201_Statistical_Methods_for_Finance_(Kuter)/04%3A_Random_Variables/4.10%3A_Chapter_Key_ItemsThe probability of exactly x failures before the first success is given by the formula: \(P(X=x)=p(1-p)^{x-1}\) where one wants to know probability for the number of trials until the first success: th...The probability of exactly x failures before the first success is given by the formula: \(P(X=x)=p(1-p)^{x-1}\) where one wants to know probability for the number of trials until the first success: the \(x\)th trail is the first success.
- https://stats.libretexts.org/Courses/Fresno_City_College/Introduction_to_Business_Statistics_-_OER_-_Spring_2023/04%3A_Discrete_Random_Variables/4.06%3A_Chapter_Key_ItemsThe formula for this presentation of the geometric is: \(P(X=x)=p(1-p)^{x}\) The expected value in this form of the geometric distribution is \(\mu=\frac{1-p}{p}\) The easiest way to keep these two fo...The formula for this presentation of the geometric is: \(P(X=x)=p(1-p)^{x}\) The expected value in this form of the geometric distribution is \(\mu=\frac{1-p}{p}\) The easiest way to keep these two forms of the geometric distribution straight is to remember that p is the probability of success and \((1−p)\) is the probability of failure.
