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What are the types of probability distribution? Briefly describe the probability distribution and its characteristics commonly used in psychological and educational statistics.
Answer: [Hint] The types of probability distribution mainly include: according to whether random variables are continuous, they are divided into discrete distribution and continuous distribution; According to the source of distribution function, it can be divided into empirical distribution and theoretical distribution; According to the data characteristics described by probability distribution, it can be divided into basic random variable distribution and sampling distribution.

Normal distribution, binomial distribution and sample distribution are commonly used in psychological and educational statistics. ① Normal distribution is a probability distribution of continuous random variables, and its distribution curve is symmetrical, and the symmetry axis is the vertical line passing through the average point. The center point of the normal distribution curve is the highest, and the area under the normal distribution curve is 1. (2) Binomial distribution refers to the probability distribution with only two different results in the experiment, which is a discrete distribution, and is mainly used to solve problems with contingency, such as guessing. ③ Sampling distribution refers to the distribution of sample statistics, which is an important basis for statistical inference. Common sampling distributions are Z distribution, χ2 distribution, T distribution and F distribution.