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

Answer:

Shown below.

Step-by-step 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.

$P(E)=\frac{n(E)}{N}$

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