Each of the following scenarios can be described as a discrete random variable, a continuous random variable, or not a random variable. Which scenarios are continuous random variables?

a. The number of pages in various novels in a library

b. The amount of milk (in liters) a cow produces in a day

c. The number of languages spoken by university professors

d. Types of plants in a botanical garden

e. The time (in minutes) it takes for a student to complete a math quiz

Assuming the average number of customers visiting a small cafe is $20$ per day, calculate the probability that exactly $15$ customers will visit the cafe on a given day. The probability distribution follows the Poisson model.

A survey of office workers recorded the number of password reset requests made by each employee in a month. The data below represents the probability distribution for the number of reset requests:

Is the random variable for the number of reset requests discrete or continuous? Explain.

A survey was conducted to record the number of books read by students in a literature class during the last month. The data collected is as follows:

Graph the histogram representing the probability distribution for the number of books read. Then, describe the shape of the distribution.

In a statistics class, let $w$ represent the amount of water (in liters) a person drinks in one day. Determine whether the random variable $w$ is discrete or continuous. Explain your answer.

A small electronics shop collected data on the number of speakers purchased by each customer. The probability distribution for the random variable $W$ (number of speakers) is shown below:

Determine the missing probability $P(W=1)$ to complete the probability distribution.