The histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level and 5 is the strongest level. 1= 0.411

2=0.278

3=0.221

4=0.080

5=0.010

(a) Find the mean, variance and standard deviation of the probability distribution.

(b) Interpret the results: A, B, C or D.

A. The average hurricane is aprox. category 1.

B. The average hurricane is aprox. category 2.*

C. Most of the hurricane sizes differ from the average by about 2 or 3.

D. Most of the hurricane sized differ from the average by about 1 or 2.*

a) mean = 0.2

variance = 0.0391

standard deviation = 0.198

b) The average hurricane is aprox. category 2.*  (B)

Step-by-step explanation:

In order to find the mean, variance, and standard deviation, let us for a table for the data:

level            x

1             0.411

2            0.278

3            0.221

4            0.080

5            0.010

Calculating the mean ()

∴Mean = 0.2

level            x                  

1             0.411         0.211         0.0445  

2            0.278       0.078        0.0608

3            0.221        0.021         0.000441    

4            0.080        -0.12         0.0144

5            0.010         -0.19         0.0361

standard deviation = √(variance)

Standard deviation = √(0.0391)

Standard deviation = 0.198

b) the average hurricane is aprox.  category 2 (B)

answer: 12

step-by-step explanation:

because yes

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,