For a given probability of success p that is not too close to 0 or 1, the binomial distribution tends to take on more of a symmetric bell shape as the number of trials n increases.

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Quizplus · Accepted Answer

As the number of trials increases, the binomial distribution approaches a normal distribution, which is symmetric and bell-shaped. This is because the law of large numbers ensures that the sample mean approaches the population mean, and the central limit theorem ensures that the distribution of the sample mean approaches a normal distribution.

For a Given Probability of Success P That Is Not