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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 :

GinnyAnswer
Sure, let's break down the expression for calculating binomial probabilities step-by-step:

The expression is:
[tex]\[ { }_n C_k \cdot (p)^k \cdot (1-p)^{n-k} \][/tex]

Here, each variable represents the following:

1. [tex]\( n \)[/tex] represents the number of trials. This is the total number of times an experiment or a process is conducted.

2. [tex]\( p \)[/tex] represents the probability of success on a single trial. This is the likelihood of achieving a successful outcome in each individual trial.

3. [tex]\( k \)[/tex] represents the number of successes. This is the count of successful outcomes that you are interested in observing within the [tex]\( n \)[/tex] trials.

So, to summarize:
- [tex]\( n \)[/tex] represents the number of trials.
- [tex]\( p \)[/tex] represents the probability of success on a single trial.
- [tex]\( k \)[/tex] represents the number of successes.
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