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Even though the normal probability distribution deals with continuous variables, we can use it to approximate the binomial whenever np > 5 and also nq > 5.
Normal Probability Distribution
A bell-shaped distribution that is symmetrical around the mean, representing the distribution of many types of data.
Continuous Variables
Variables that can take on an infinite number of values or levels.
Binomial
Pertaining to a probability distribution that models the number of successes in a fixed number of trials, with only two possible outcomes.
- Ascertain the proper contexts in which to utilize the normal approximation for the binomial distribution.
- Realize the importance of sample size in the process of approximating binomial distributions by means of normal distributions.
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Learning Objectives
- Ascertain the proper contexts in which to utilize the normal approximation for the binomial distribution.
- Realize the importance of sample size in the process of approximating binomial distributions by means of normal distributions.
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