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
(type an integer or a decimal. do not round.)

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
(type an integer or a decimal. do not round.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Mean of Probability Distribution" ], "new_concepts": [], "current_concepts": [ "Mean of Probability Distribution", "Variance of Probability Distribution", "Discrete Probability Distribution" ] } ## Calculate the mean of the probability distribution $$ \begin{aligned} \mu &= \sum x \cdot P(x) \ &= 1(0.407) + 2(0.255) + 3(0.212) + 4(0.115) + 5(0.011) \ &= 0.407 + 0.510 + 0.636 + 0.460 + 0.055 \ &= 2.068 \end{aligned} $$ (a) The mean is 2.068 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Mean of Probability Distribution" ] }

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Explanation:

Calculate the mean of the probability distribution

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