Question

Stanley is also considering buying a house in Cape Cod. Cape Cod is much smaller than the Jersey Shore with only 15 towns that can be affected by floods. You have collected the following data. # of floods per town per summer # of towns having these losses 0 2 1 4 2 ?3 5 4 1 a. Calculate the probability distribution for frequency based on the information provided above. (2 points) b. Stanley would like to know which location faces the most risk for floods between the Jersey Shore and Cape Cod? Show/explain how you came to this answer

Answer 1

Complete Question

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Answer:

a

$P_1 = 0.1333$ , $P_2 = 0.266$, tex]P_3 =  0.200[/tex],  $P_4 = 0.333$ ,   $P_5 = 0.067$

b

The location with most risk for flood is the location with 5 towns

Step-by-step explanation:

From the question we are told that

The total number of town is n = 15

Generally the missing number of town is mathematically evaluated as

$k = 15 - [2 + 4 + 5 + 1 ]$

=> $k = 3$

Generally the probability distribution for frequency is mathematically represented as

$P = \frac{A}{B}$

Here  A is the number of town having these losses (i.e each row under the number of towns having the losses column)

        B is the total number of  towns

Considering column one

          $P_1 = \frac{2}{15}$

           $P_1 = 0.1333$

Considering column two

          $P_2 = \frac{4}{15}$

           $P_2 = 0.266$

Considering column three

          $P_3 = \frac{3}{15}$

           $P_3 = 0.200$

Considering column four

          $P_4 = \frac{5}{15}$

           $P_4 = 0.333$

Considering column five

          $P_5 = \frac{1}{15}$

           $P_5 = 0.067$

Looking at the table we see that the region with  5  towns receive 3 floods per town and this region of 5 towns has a higher probability distribution for frequency compared to the other region. hence the location with most risk for flood is the location with 5 towns