Exercise

# Calculating a joint distribution

To the right, you have parts of the code we developed in the last video. It defines a grid over the underlying proportions of clicks (`proportion_clicks`

) and possible outcomes (`n_visitors`

) in `pars`

. It adds to it the `prior`

probability of each parameter combination and the likelihood that each `proportion_clicks`

would generate the corresponding `n_visitors`

.

Instructions

**100 XP**

- Add the column
`pars$probability`

: The probability of each`proportion_clicks`

and`n_visitors`

combination. As in the video, this should be calculated by multiplying the`likelihood`

by the`prior`

- Make sure the column
`pars$probability`

sums to`1.0`

by*normalizing*it, that is, by dividing`pars$probability`

by the total sum of`pars$probability`

.