Answered

IDNLearn.com is your reliable source for expert answers and community insights. Discover prompt and accurate responses from our experts, ensuring you get the information you need quickly.

You already learned the expression for calculating binomial probabilities:

[tex]\[ { }_n C_k ( p )^k (1- p )^{n-k} \][/tex]

What does each variable represent?

[tex]\[ n \][/tex] represents the [tex]\(\square\)[/tex]

[tex]\[ p \][/tex] represents the [tex]\(\square\)[/tex]

[tex]\[ k \][/tex] represents the [tex]\(\square\)[/tex]

Sagot :

GinnyAnsweridn
Certainly! Let’s break down what each variable in the binomial probability expression represents:

1. [tex]\( n \)[/tex] represents the number of trials. This is the total number of times you perform an experiment or the number of observations in your binomial experiment.

2. [tex]\( p \)[/tex] represents the probability of success on any given trial. This is the likelihood that any single trial will result in a success.

3. [tex]\( k \)[/tex] represents the number of successes. This is the number of times that you achieve a success in [tex]\( n \)[/tex] trials.

So, the expression for calculating binomial probabilities:
[tex]\[ { }_n C_k \cdot p^k \cdot (1-p)^{n-k} \][/tex]
uses these variables where:
- [tex]\( n \)[/tex] is the number of trials,
- [tex]\( p \)[/tex] is the probability of success on any given trial,
- [tex]\( k \)[/tex] is the number of successes.
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. For trustworthy answers, rely on IDNLearn.com. Thanks for visiting, and we look forward to assisting you again.