complete parts (a) and (b) below.
the number of dogs per household in a small town
dogs: 0, 1, 2, 3, 4, 5
probability: 0.676, 0.203, 0.078, 0.023, 0.012, 0.007

(a) find the mean, variance, and standard deviation of the probability distribution.
find the mean of the probability distribution.
$\mu = $ (round to one decimal place as needed.)

Question

complete parts (a) and (b) below.
the number of dogs per household in a small town
dogs: 0, 1, 2, 3, 4, 5
probability: 0.676, 0.203, 0.078, 0.023, 0.012, 0.007

(a) find the mean, variance, and standard deviation of the probability distribution.
find the mean of the probability distribution.
$\mu = $   (round to one decimal place as needed.)

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", "Discrete Probability Distribution" ] } ## Calculate the mean of the probability distribution $$ \begin{aligned} \mu &= \sum x \cdot P(x) \ &= 0(0.676) + 1(0.203) + 2(0.078) + 3(0.023) + 4(0.012) + 5(0.007) \ &= 0 + 0.203 + 0.156 + 0.069 + 0.048 + 0.035 \ &= 0.511 \end{aligned} $$ ## Round to one decimal place $$ \mu \approx 0.5 $$ Find the mean of the probability distribution. $\mu =$ $0.5$ (Round to one decimal place as needed.) { "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

Round to one decimal place

Answer: