Question

the list shows her data. 1,1,2,2,2,2,3,3,3,4,5,5,5,6,6,7,7,9,10,12. elza 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 1 - 3 0.45 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: Count total data points

There are 20 data - points in the list (1,1,2,2,2,2,3,3,3,4,5,5,5,6,6,7,7,9,10,12).

Step2: Calculate probabilities for each group

For 1 - 3: There are 9 data - points in the 1 - 3 range. Probability = $\frac{9}{20}=0.45$.
For 4 - 6: There are 6 data - points in the 4 - 6 range. Probability = $\frac{6}{20}=0.3$.
For 7 - 9: There are 3 data - points in the 7 - 9 range. Probability = $\frac{3}{20}=0.15$.
For 10 - 12: There are 2 data - points in the 10 - 12 range. Probability = $\frac{2}{20}=0.1$.

Answer:

The probabilities in the table should be equal to the total number of data - points in each grouping divided by 20. The probability distribution does represent the data.