The condition should be satisfied are as np>=5 and n(1-p)>=5.
When both requirements are satisfied, we can utilise the normal distribution to provide probabilistic responses to binomial distribution-related problems.
For instance, let's say we want to know the likelihood that during 100 flips, a coin will land on heads less than or equal to 45 times. In other words, we seek P (X <= 45). Instead, we would discover P (X <= 45.5) in order to approximate the binomial distribution using the normal distribution.
So, the main condition is np>=5 and n(1-p)>=5.
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