Course Content

Probability Theory

1. Learn Basic Rules

Random Variable Bernoulli Trial 1/2 Bernoulli Trial 2/2 Binomial Probability 1/2 Binomial probability 2/2

2. Probabilities of Several Events

Add Probabilities Calculate Connected Probabilities Challenge Multiply probabilities Dependent probabilities Law of Total Probability Bayes Theorem Challenge

3. Conducting Fascinating Experiments

The First Experiment The Second Experiment The Third Experiment Combine Your Knowledge

4. Discrete Distributions

Discrete Uniform Distribution Calculate Fascinating Probability Bernoulli Distribution Binomial Distribution Challenge Poisson Distribution Challenge

5. Normal Distribution

Normal Distribution Challenge 1 Сhallenge 2

Сhallenge 2

Here we are going to work with the distribution from the previous chapter!

Task

Please calculate the probability that your cat's weight will be unusual!

Import norm object.
Calculate the first one prob_1 that your cat's weight will be less than 2 kg with such parameters:
- Mean equals 4.2
- Standard deviation equals 1.
Calculate the second one prob_2 that the weight of your cat will be more than 11 kg with the parameters:
- Mean equals 4.2
- Standard deviation equals 1.
Calculate the probability that the weight of your cat will be more than 11 or less than 2 kg.

Compare it to the graph and the values of confidence intervals.

Task

Please calculate the probability that your cat's weight will be unusual!

Import norm object.
Calculate the first one prob_1 that your cat's weight will be less than 2 kg with such parameters:
- Mean equals 4.2
- Standard deviation equals 1.
Calculate the second one prob_2 that the weight of your cat will be more than 11 kg with the parameters:
- Mean equals 4.2
- Standard deviation equals 1.
Calculate the probability that the weight of your cat will be more than 11 or less than 2 kg.

Compare it to the graph and the values of confidence intervals.

Everything was clear?

Section 5. Chapter 3

Сhallenge 2

Here we are going to work with the distribution from the previous chapter!

Task

Please calculate the probability that your cat's weight will be unusual!

Import norm object.
Calculate the first one prob_1 that your cat's weight will be less than 2 kg with such parameters:
- Mean equals 4.2
- Standard deviation equals 1.
Calculate the second one prob_2 that the weight of your cat will be more than 11 kg with the parameters:
- Mean equals 4.2
- Standard deviation equals 1.
Calculate the probability that the weight of your cat will be more than 11 or less than 2 kg.

Compare it to the graph and the values of confidence intervals.

Task

Please calculate the probability that your cat's weight will be unusual!

Import norm object.
Calculate the first one prob_1 that your cat's weight will be less than 2 kg with such parameters:
- Mean equals 4.2
- Standard deviation equals 1.
Calculate the second one prob_2 that the weight of your cat will be more than 11 kg with the parameters:
- Mean equals 4.2
- Standard deviation equals 1.
Calculate the probability that the weight of your cat will be more than 11 or less than 2 kg.

Compare it to the graph and the values of confidence intervals.

Everything was clear?

Section 5. Chapter 3

Сhallenge 2

Here we are going to work with the distribution from the previous chapter!

Task

Please calculate the probability that your cat's weight will be unusual!

Import norm object.
Calculate the first one prob_1 that your cat's weight will be less than 2 kg with such parameters:
- Mean equals 4.2
- Standard deviation equals 1.
Calculate the second one prob_2 that the weight of your cat will be more than 11 kg with the parameters:
- Mean equals 4.2
- Standard deviation equals 1.
Calculate the probability that the weight of your cat will be more than 11 or less than 2 kg.

Compare it to the graph and the values of confidence intervals.

Task

Please calculate the probability that your cat's weight will be unusual!

Import norm object.
Calculate the first one prob_1 that your cat's weight will be less than 2 kg with such parameters:
- Mean equals 4.2
- Standard deviation equals 1.
Calculate the second one prob_2 that the weight of your cat will be more than 11 kg with the parameters:
- Mean equals 4.2
- Standard deviation equals 1.
Calculate the probability that the weight of your cat will be more than 11 or less than 2 kg.

Compare it to the graph and the values of confidence intervals.

Everything was clear?

Here we are going to work with the distribution from the previous chapter!

Task

Please calculate the probability that your cat's weight will be unusual!

Import norm object.
Calculate the first one prob_1 that your cat's weight will be less than 2 kg with such parameters:
- Mean equals 4.2
- Standard deviation equals 1.
Calculate the second one prob_2 that the weight of your cat will be more than 11 kg with the parameters:
- Mean equals 4.2
- Standard deviation equals 1.
Calculate the probability that the weight of your cat will be more than 11 or less than 2 kg.

Compare it to the graph and the values of confidence intervals.

Section 5. Chapter 3

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