Classify each random variable as either discrete or continuous. The time between customers entering a checkout lane at a retail store. The weight of refuse on a truck arriving at a landfill.

Jan 4, 2010 · Problems under the distribution function for discrete random variable. Example 1.4.1 [Given P (xi) to find F (xi) type] For the following probability distribution (i) Find the distribution function of X. (ii) What is the smallest value of x for which P(X ≤ x) > 0.5. Solution: (i) (ii) The smallest value of x for which P (X ≤ x;) > 0.5 is 1.

Problem . Let $X \sim Poisson(\alpha)$ and $Y \sim Poisson(\beta)$ be two independent random variables. Define a new random variable as $Z=X+Y$. Find the PMF of $Z$.

Aug 14, 2024 · In this article, we’ll delve into the fundamentals of discrete random variables, including their definition, probability mass function, expected value, and variance. By the end of this article, you’ll have a solid understanding of discrete random variables and how to use them to make better decisions. Discrete Random Variable Definition

These two examples illustrate two different types of probability problems involving discrete random vari-ables. Recall that discrete data are data that you can count. A random variable describes the outcomes of a statistical experiment both in words. The values of a random variable can vary with each repetition of an experiment.

A variable which can assume finite number of possible values or an infinite sequence of countable real numbers is called a discrete random variable. Examples of discrete random variable: · Marks obtained in a test.

Sep 25, 2020 · What is a discrete random variable? Learn everything you need to know in this guide with 11 step-by-step examples. Let's go!

Let X X be the number of the cars being repaired at a repair shop. We have the following information: At any time, there are at most 3 3 cars being repaired. The probability of having 2 …

Master Discrete Random Variables with free video lessons, step-by-step explanations, practice problems, examples, and FAQs. Learn from expert tutors and get exam-ready!

Sep 15, 2020 · Let $X$ be a discrete random variable with the following probability distribution $$ F(x)= \begin{cases} 0 & \text{if $x<1$,} \newline 1/5 & \text{if $1\leq x< 4$,} \newline 3/4 & \text{if $4\leq x<6$,} \newline 1 & \text{if $6\leq x$.} \end{cases} $$