Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]P_1 = 0.1333[/tex] , [tex]P_2 = 0.266[/tex], tex]P_3 = 0.200[/tex], [tex]P_4 = 0.333[/tex] , [tex]P_5 = 0.067[/tex]
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
[tex]k = 15 - [2 + 4 + 5 + 1 ][/tex]
=> [tex]k = 3 [/tex]
Generally the probability distribution for frequency is mathematically represented as
[tex]P = \frac{A}{B}[/tex]
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
[tex]P_1 = \frac{2}{15}[/tex]
[tex]P_1 = 0.1333[/tex]
Considering column two
[tex]P_2 = \frac{4}{15}[/tex]
[tex]P_2 = 0.266[/tex]
Considering column three
[tex]P_3 = \frac{3}{15}[/tex]
[tex]P_3 = 0.200[/tex]
Considering column four
[tex]P_4 = \frac{5}{15}[/tex]
[tex]P_4 = 0.333[/tex]
Considering column five
[tex]P_5 = \frac{1}{15}[/tex]
[tex]P_5 = 0.067[/tex]
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
