Question

The number and frequency of a certain ocean's hurricanes annually from 1930 through 2005 is shown below. This means, for instance, that no hurricanes occurred during 4 of these years, only one hurricane occurred in 15 of these years, and so on. Complete parts a through c below. Number Frequency 0 4. 1 2 3 4 15 20 13 5 5 6 6 4 7 4 8 2 9 1 12 1

a. Find the probabilities of 0-12 hurricanes each season using these data. 7 8 9 12 4 2 1 1 Number 0 1 2 3 5 6 Frequency 4 15 20 13 5 6 4 Probability (Type integers or decimals rounded to three decimal places as needed.)

Answer 1

Shown below.

Explanation:

The table showing the umber and frequency of a certain ocean's hurricanes annually from 1930 through 2005 is:

Number: 0 1 2 3 4 5 6 7 8 11 12

Frequency: 5 16 20 14 3 5 4 4 2 1 1

The probability of an events, say E is the ratio of the number of favorable outcomes to the total number of outcomes.

`P(E)=(n(E))/(N)`

Compute the probabilities of 0 - 12 hurricanes each season as follows:

Number Frequency Probability

0 5 0.07

1 16 0.21

2 20 0.27

3 14 0.19

4 3 0.04

5 5 0.07

6 4 0.05

7 4 0.05

8 2 0.03

11 1 0.01

12 1 0.01

Total 75 1.00