Question

A die is thrown 100 times. Getting an even number is considered a success. The variance of the number of successes is:

• A. 20
• B. 25
• C. 30
• D. 50

Hint:

For a binomial distribution where the probability of success is \(p = 0.5\), the variance simplifies to:
\[ \text{Variance} = \frac{n}{4} \]
With \(n = 100\), we calculate \(\frac{100}{4} = 25\) instantly.

Answer 1

The Correct Option is B