Given that `X ~ B (n, P)`. If n = 10, P = 0.4 then E(X) = ...............

Options

A. 1
B. 2
C. 3
D. 4

Answer

To find the expected value \( E(X) \) for a binomial random variable \( X \) with parameters \( n \) and \( P \), we can use the formula:

\[ E(X) = n \cdot P \]

Given:
- \( n = 10 \)
- \( P = 0.4 \)

Now, let's calculate \( E(X) \):

1. Substitute the values of \( n \) and \( P \) into the formula:
\[ E(X) = 10 \cdot 0.4 \]

2. Perform the multiplication:
\[ E(X) = 4 \]

Thus, the expected value \( E(X) \) is \( 4 \).