Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

What are the two requirements for a discrete probability distribution?

Choose the correct answers below. Select all that apply.

A. [tex]0 \leq P(x) \leq 1[/tex]

B. [tex]\sum P(x) = 1[/tex]

C. [tex]0 \ \textless \ P(x) \ \textless \ 1[/tex]

D. [tex]\sum P(x) = 0[/tex]

Sagot :

GinnyAnswer
To determine if a set of values forms a discrete probability distribution, there are specific properties that must be satisfied. Here are the step-by-step requirements:

1. Nonnegativity: Each probability value must be between 0 and 1, inclusive. This ensures that no event has a negative probability and no probability exceeds certainty.
- Mathematically, this is represented as [tex]\(0 \leq P(x) \leq 1\)[/tex].

2. Normalization: The sum of all the probabilities of the possible outcomes must equal 1. This guarantees that the total probability is distributed among all possible outcomes in a way that encompasses the entire sample space.
- Mathematically, this is expressed as [tex]\(\sum P(x) = 1\)[/tex].

Considering the above properties, the correct requirements for a discrete probability distribution are:

- [tex]\(0 \leq P(x) \leq 1\)[/tex]
- [tex]\(\sum P(x) = 1\)[/tex]

Thus, the correct answers are:

A. [tex]\( 0 \leq P(x) \leq 1 \)[/tex]

B. [tex]\(\sum P(x) = 1 \)[/tex]
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.