assume the geometric distribution applies. use the given probability of success p to find the indicated probability.

find p(5) when p = 0.90.

p(5) = (round to five decimal places as needed.)

Question

assume the geometric distribution applies. use the given probability of success p to find the indicated probability.

find p(5) when p = 0.90.

p(5) =   (round to five decimal places 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": [], "new_concepts": [ "Geometric Distribution", "Geometric Probability Formula" ], "current_concepts": [ "Geometric Distribution", "Geometric Probability Formula" ] } ## State the geometric probability formula $$ P(x) = (1-p)^{x-1} \cdot p $$ ## Substitute the given values $$ \begin{aligned} p &= 0.90 \ x &= 5 \ P(5) &= (1-0.90)^{5-1} \cdot 0.90 \ P(5) &= (0.10)^4 \cdot 0.90 \end{aligned} $$ ## Calculate the final value $$ \begin{aligned} P(5) &= 0.0001 \cdot 0.90 \ P(5) &= 0.00009 \end{aligned} $$ Assume the geometric distribution applies. Use the given probability of success p to find the indicated probability. Find P(5) when p = 0.90. P(5) = 0.00009 (Round to five decimal places as needed.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Geometric Distribution" ] }

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Question

Explanation:

State the geometric probability formula

Substitute the given values

Calculate the final value

Answer: