# Probabilities & Statistics | Maths with Lemon

Source: https://mathswithlemon.io/ai-probabilities-statistics-distributions.html


#### Discrete random variable


##### What you have to know:

- You must know how to calculate probabilities. (If not, check this lesson)

##### Key Points

- 1. Watch the video:
- 2. Expected values problems. Watch this video
- 3. Fair games and expected value. Watch this video

#### Binomial distribution


##### What you have to know:

- You must know how to calculate probabilities. (If not, check this lesson)

##### Key Points

- 1. Watch the video:

#### Poisson distribution


##### What you have to know:

- You must know how to calculate probabilities. (If not, check this lesson)

##### Key Points

- 1. Watch the video:

#### Normal distribution


##### What you have to know:

- You must know how to calculate probabilities. (If not, check this lesson)

##### Key Points

- 1. Watch the video:
- 2. Example with Normal and Binomial distribution. Watch this video
- 3. Inverse Normal distribution exercise. Watch this video

#### Type I and Type II errors


##### What you have to know:

- A probability of a type I error is the probability of rejecting H₀ when H₀ is true. For the normal distribution this will be equal to the significance level; for a discrete distribution this will be the probability of the statistic falling in the critical region.
- In order to find the probability of a type II error, first find the critical region under the null hypothesis.
- The probability of a type II error is the probability of the statistic not being in the critical region. This is calculated using a value for the parameter chosen from the alternative hypothesis.

##### Key Points

- 1. Watch the video:

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