probability distribution

probability distribution — 名詞

1. a mathematical function, table, or graph that lists every possible result of a r

1.名詞B2
釋義

機率分佈

各結果發生機率的數學函數

a mathematical function, table, or graph that lists every possible result of a random event and shows the chance of each one happening

例句

The statistician plotted the probability distribution of household incomes across the city.

統計學家繪製了全市家庭收入的機率分佈圖。

probability distribution + of + noun phrase

Gabriel learned how a normal probability distribution describes test scores in a large class.

Gabriel 學到了常態機率分佈如何描述大型班級的考試成績。

collocation: normal probability distribution

同義詞
  • probability function

    more technical; refers specifically to the mathematical formula, not the table or graph

  • distribution

    shorter form commonly used in statistics when the context is clear

  • density function

    used specifically for continuous random variables; narrower than probability distribution

文法句型

probability distribution + of + noun phrase

用法筆記

Countable; often appears with 'of' to specify the random variable (e.g., 'probability distribution of heights'). Frequently modified by distribution type: 'normal', 'binomial', 'uniform', 'Poisson'.

常見錯誤

❌A probability distribution shows the chance of one result.
✅A probability distribution shows the chance of every possible result.
💡a distribution must cover all possible outcomes, not just one.
❌The probability distribution of rolling a die is 1/6.
✅The probability distribution of rolling a fair die gives each number from 1 to 6 a probability of 1/6.
💡the distribution is the whole set of probabilities, not a single value.