Math / Data & Statistics

QuestionIdentify the expression for calculating the mean of a binomial distribution.
Choose the correct answer below. np $\sum\left[x^{2} \cdot P(x)\right]-\mu^{2}$ $\sqrt{n p q}$ npq

Studdy Solution

STEP 1

1. We are dealing with a binomial distribution.
2. The parameters of a binomial distribution are $n$ (number of trials) and $p$ (probability of success on each trial).
3. The mean of a binomial distribution is defined by a specific formula.

STEP 2

1. Recall the formula for the mean of a binomial distribution.
2. Identify the correct expression from the given options.

STEP 3

Recall the formula for the mean of a binomial distribution. The mean, denoted by $\mu$ , is given by:
$\mu = n \cdot p$

STEP 4

Identify the correct expression from the given options:
- $np$ - $\sum\left[x^{2} \cdot P(x)\right]-\mu^{2}$ - $\sqrt{n p q}$ - $npq$
The correct expression for the mean of a binomial distribution is:
$np$
The correct answer is:
$\boxed{np}$

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