# Find the mean of the Binomial distribution if n = 10, p = 4/5, q = 1/5

38 views

closed
Find the mean of the Binomial distribution if n = 10, p = 4/5, q = 1/5
1. 5
2. 8
3. 10
4. 2
5. 4

by (30.0k points)
selected

Correct Answer - Option 2 : 8

Concept:

Binomial distribution:

If a random variable X has binomial distribution as B (n, p) with n and p as parameters, then the probability of random variable is given as:

P(X = k) = nCpk q(n - k) where q = p - 1, n is the number of observations, p is the probability of success & q is the probability of failure.

Note: The mean of a binomial distribution is np and variance is npq.

Calculation:

Given: n = 10, p = 4/5, q = 1/5

As we know that, mean of a binomial distribution = np

$\rm ⇒Mean = 10 \times \frac{4}{5}=8$

Hence, the correct option is 2.