If in Binomial distribution \( n=6, p=0.2, q=0.8 \) then we can approximate it to normally disputation

The Binomial distribution can be approximated by a normal distribution when certain conditions are met, specifically when both \( np \) and \( nq \) are greater than 5. In your case, \( np = 6 \times 0.2 = 1.2 \) and \( nq = 6 \times 0.8 = 4.8 \). Since both are below 5, it's not ideal for normal approximation. However, if you increased \( n \) to, say, 30 with the same \( p \), the approximation becomes much more robust and viable! When working with binomial distributions, remember to check the conditions for normal approximation before using it. One common mistake is attempting to approximate with small \( n \) values where the \( np \) and \( nq \) do not meet the threshold of being greater than 5. This can lead to inaccurate results! Always assess your situation properly!