Understanding uniform distributions

If we roll a fair dice, the likelihood of drawing any side is equal. By plotting the samples in a bar plot, we can see bars with equal heights. This type of distribution is known as uniform distribution. In this recipe, we will introduce how to generate samples from a uniform distribution.

Getting ready

In this recipe, you need to prepare your environment with R installed.

How to do it…

Please perform the following steps to generate a sample from uniform distribution:

1. First, we can create samples from uniform distribution by using the runif function:

   > set.seed(123)
   > uniform <- runif(n = 1000, min = 0, max = 1)
   

2. We can then make a histogram plot out of the samples from the uniform distribution:

   > hist(uniform, main = "1,000 random variates from a uniform distribution")
   

   

   Figure 1: A histogram of 1,000 random variates from a uniform distribution

3. For uniform distribution, we also can find the density at each point equals 1, and the density function...