Maths with Lemon

Discrete random variable

What you have to know:

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:

Key Points

  • 1. Watch the video:

Poisson distribution

What you have to know:

Key Points

  • 1. Watch the video:

Normal distribution

What you have to know:

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:

IB Past Paper Problems

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