use the accompanying bar graph, which shows the highest level of education received by employees of a company, to find the probability that the highest level of education for an employee chosen at random is a doctorate.

the probability that the highest level of education for an employee chosen at random is a doctorate is .
(round to the nearest thousandth as needed.)

Question

use the accompanying bar graph, which shows the highest level of education received by employees of a company, to find the probability that the highest level of education for an employee chosen at random is a doctorate.

the probability that the highest level of education for an employee chosen at random is a doctorate is  .
(round to the nearest thousandth as needed.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Empirical Probability" ], "new_concepts": [], "current_concepts": [ "Empirical Probability", "Percentage Calculation" ] } ## Identify the given values Using the *Empirical Probability* knowledge point $$ \begin{aligned} &\text{Category A (Doctoral): } 4\ &\text{Category B (Master's): } 24\ &\text{Category C (Bachelor's): } 34\ &\text{Category D (Associate's): } 23\ &\text{Category E (High School diploma): } 5\ &\text{Category F (Other): } 3 \end{aligned} $$ ## Calculate the total number of employees Using the *Empirical Probability* knowledge point $$ \begin{aligned} \text{Total} &= 4 + 24 + 34 + 23 + 5 + 3 \ &= 93 \end{aligned} $$ ## Calculate the probability of choosing a doctorate Using the *Empirical Probability* knowledge point $$ \begin{aligned} P(\text{Doctorate}) &= \frac{\text{Number of Doctoral Employees}}{\text{Total Employees}} \ &= \frac{4}{93} \end{aligned} $$ ## Round to the nearest thousandth Using the *Empirical Probability* knowledge point $$ \begin{aligned} P(\text{Doctorate}) &\approx 0.04301075... \ &\approx 0.043 \end{aligned} $$ The probability that the highest level of education for an employee chosen at random is a doctorate is 0.043 (Round to the nearest thousandth as needed.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Empirical Probability" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the given values

Calculate the total number of employees

Calculate the probability of choosing a doctorate

Round to the nearest thousandth

Answer: