Exercise

# Mixture of three Gaussian distributions

What will change if we incorporate another distribution into our simulation? You will see that increasing the number of components will spread the mass density to include the extra distribution, but the logic still follows from the previous exercise.

Instructions

**100 XP**

- Create
`assignments`

, which takes the values 0, 1 and 2 with a probability of 0.3, 0.4 and 0.3, respectively. - The data frame
`mixture`

samples from a Gaussian with a`mean`

of 5 and`sd`

of 2, when`assignments`

is 1. If`assignments`

is 2, the`mean`

is 10 and`sd`

is 1. Otherwise, is a standard normal distribution. - Plot the histogram with 50 bins.