Question

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.

(a) find the mean, variance, and standard deviation of the probability distribution.
(b) interpret the results.

(a) the mean is 2.068.
(type an integer or a decimal. do not round.)

the variance is 1.17.
(round to two decimal places as needed.)

the standard deviation is 1.08.
(round to two decimal places as needed.)

(b) interpret the results. select all that apply.
a. the average hurricane is approximately category 2.
b. the typical hurricane deviates from the mean by about 2 category levels.
c. the typical hurricane deviates from the mean by about 1 category level.
d. the average hurricane is approximately category 1.

Explanation:

Calculate the mean of the probability distribution

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Calculate the variance of the probability distribution

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Calculate the standard deviation and interpret the results

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$$

Answer:

Question 1

(a)

• The mean is 2.068
• The variance is 1.17
• The standard deviation is 1.08

Question 2

(b) Select all that apply:

• [x] A. The average hurricane is approximately category 2.
• [x] C. The typical hurricane deviates from the mean by about 1 category level.