Question

What is the relative frequency of direct hits that were AT MOST a category 3 storm? a. 0.3480 b. 0.9231 c. 0.2601 d. 0.3370

Answer 1

Answer:

The question is incomplete. This is the complete question: Use the following information to answer the exercise: The table in the attachment contains data on hurricanes that have made direct hits on the US between 1851 and 2004. A hurricane is given a strength category rating based on the minimum wind speed generated by the storm. What is the relative frequency of direct hits that were AT MOST a category 3 storm.

The answer is b.  0.9231.

Explanation:

The relative frequency for each category can be calculated by dividing the number of hits for each category by the total number of hits, where the total number of his = 273.

The relative frequency for each category is shown in the third column in the table in the attachment.

Using the values of the respective relative frequencies on the third column, and considering AT MOST a category 3 storm―i.e. categories 1, 2, and 3―the relative frequency of direct hits = relative frequency for category 1 + relative frequency for category 2 + relative frequency for category 3 = (109/273) + (72/273) + (71/273) = 0.3993 + 0.2637 + 0.2601 = 0.9231.