For this problem, you will need to load the ggplot $2$ movies library. This library contains a data

frame called movies that contains information about $58,788$ movies. One of the variables in this data

frame is the length $($in minutes$)$ and it is interesting to look at this variable in some detail, starting

with the default histogram and boxplot using ggplot$2.$

a$)$ The dataset appears to have some unusually large outliers. Are these outliers real, or bad data

values? Justify your answer. $($Hint: filter the data for movies over $2000$ minutes in length,

and then check on the internet to see if the movie lengths are correct.$)$

b$)$ Using filter, create a subset of the movies dataframe containing only films $3$ hours or less

long. Plot a histogram with a bin width of one minute. Describe what features stand out to you.

c$)$ Amongst other features you should have mentioned in part $($b$)$ are peaks at $7$ minutes and $90$

minutes. Draw histograms to show whether these peaks existed both before and after $1980.$

What conclusions do you draw?

d$)$ One variable, Short, indicates whether a film was classified as a short film or not. Create plots

to deduce the rule used to define what constitutes a short film. Determine whether the films

have been consistently classified; justify your answer.

Using R programming