Question

eliza uses the data points to make the probability distribution shown in the table below. use the drop - down menus to explain if the probability distribution represents the data.

number of books	probability
4 - 6	0.3
7 - 9	0.15
10 - 12	0.1

books borrowed from library

click the arrows to choose an answer from each menu.

the probabilities in the table should be equal to the total number of choose... in each grouping divided by choose... . the probability distribution choose... represent the data in the list.

Explanation:

Step1: Recall probability formula

The probability of a group in a probability - distribution is the number of data points in that group divided by the total number of data points.

Step2: Check sum of probabilities

We also know that for a valid probability distribution, the sum of all probabilities should be 1. Calculate the sum: $0.45 + 0.3+0.15 + 0.1=1$.

Step3: Determine validity

If the probabilities are calculated as the number of data points in each grouping divided by the total number of data points, and the sum of probabilities is 1, the probability distribution is valid.

Answer:

The probabilities in the table should be equal to the total number of data points in each grouping divided by the total number of data points. The probability distribution does represent the data in the list.