Abstract: In this chapter, we introduce the concept of a random variable and develop the procedures for characterizing random variables, including the cumulative distribution function, as well as the ...
#author: 'Adam Spiegler, University of Colorado Denver' - We convert `artist`, `song`, and `genre` to categorical variables using the `factor()` function. - Extract the variables `artist`, `song`, ...
In a raffle with 20 tickets, 6 tickets are drawn for prizes. The first prize winner gets $\$20$, 2 second prize winners get $\$10$, and three third prize winners get $\$5$. What is the sample space ...
Brazilian Journal of Probability and Statistics, Vol. 35, No. 3 (2021), pp. 435-441 (7 pages) The aim of this note is to give an elegant proof of a result due to E. G. Olds which concerns the density ...
ABSTRACT: This in virtue of the notion of likelihood ratio and the tool of moment generating function, the limit properties of the sequences of random discrete random variables are studied, and a ...
" F_Y(y) &= P(Y \\le y) = P(aX+b \\le y) \\\\\n", " &\\overset{a > 0}{=} P(X \\le \\frac{y - b}{a}) = F_X(\\frac{y - b}{a}) \\\\\n", " &\\overset{a < 0}{=} P(X \\ge ...
1 Department of Statistics and Analytical Sciences, Kennesaw State University, Kennesaw, USA. 2 Department of Mathematics and Statistics, East Tennessee State University, Johnson City, USA. what is ...
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