finding the mean of a probability distribution

using the data from the table, what is $p(3)$?

what is the mean of the probability distribution?

Question

finding the mean of a probability distribution

using the data from the table, what is $p(3)$?

what is the mean of the probability distribution?

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Probability Distribution", "Expected Value" ], "new_concepts": [], "current_concepts": [ "Probability Distribution", "Expected Value" ] } ## Identify the probability of X = 3 Using the *Probability Distribution* knowledge point $$ P(3) = 0.2 $$ ## Calculate the mean of the distribution Using the *Expected Value* knowledge point $$ \begin{aligned} \mu &= \sum X \cdot P(X) \ &= 0(0.1) + 1(0.2) + 2(0.4) + 3(0.2) + 4(0.1) \ &= 0 + 0.2 + 0.8 + 0.6 + 0.4 \ &= 2.0 \end{aligned} $$ ## Question 1 Using the data from the table, what is P(3)? 0.2 ## Question 2 What is the mean of the probability distribution? 2 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Expected Value" ] }

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Question

Explanation:

Identify the probability of X = 3

Calculate the mean of the distribution

Answer:

Question 1

Question 2