The Discrete Distributions

Yusif Morsy
Oct 22, 2020

Definition

Shows the probabilities of discrete outcomes

Uniform Distribution

All outcomes are equal and same possibility of happening. Ex. deck of cards. A coin, as the probability of getting either heads or tails in a coin toss is the same. Can be displayed as a bar or line graph with the same height for each possible outcome. Looks like a rectangle so it is called rectangle distribution.

Binomial distribution

Each observation represents one of two outcomes. Heads or tails. . On or off. Sick or healthy. Bernoulli Trial is a random experimental in which there are only two possibles outcomes Success or fail. Roll the dice 16 times. What is the probability of getting 2s 3 times?

In Excel

In python

Poisson Distribution

lambda to the power of x time e to the power of negative lambda divided by x factorial. A warehouse receives 8 deliveries between 4 and 5 pm on Saturday. What is the probability of only 3 deliveries will arrive between 4 and 5 pm this day? X=3, lambda = 8 x!= 3x2x1

In Excel

In python

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