Question at position 6 The contingency table below represents employees of a communications company classified by age and field of expertise. What is the probability that a randomly selected employee age 35-44 years old has business expertise? (NOTE: Please provide your calculation and final answer in separate blank spaces.) Calculation is: Question Blank 1 of 2[input] Final answer is: Question Blank 2 of 2[input]
[table]
| Under 35 | 35-44 | 45+ | Total Engineering | 8,399 | 8,663 | 7,072 | 24,134 Business | 14,515 | 14,988 | 26,683 | 56,186 Education | 6,738 | 5,657 | 8,669 | 21,064 Liberal Arts | 11,415 | 11,484 | 12,111 | 35,010 Total | 41,067 | 40,792 | 54,535 | 136,394
[/table]

Question

Question at position 6 The contingency table below represents employees of a communications company classified by age and field of expertise. What is the probability that a randomly selected employee age 35-44 years old has business expertise? (NOTE: Please provide your calculation and final answer in separate blank spaces.) Calculation is: Question Blank 1 of 2[input] Final answer is: Question Blank 2 of 2[input] ​
[table]
| Under 35 | 35-44 | 45+ | Total Engineering | 8,399 | 8,663 | 7,072 | 24,134 Business | 14,515 | 14,988 | 26,683 | 56,186 Education | 6,738 | 5,657 | 8,669 | 21,064 Liberal Arts | 11,415 | 11,484 | 12,111 | 35,010 Total | 41,067 | 40,792 | 54,535 | 136,394
[/table]

BlackTom AI · Accepted Answer

Question restatement: We need the probability that a randomly selected employee who is in the age group 35-44 has business expertise, based on the contingency table. The two blanks correspond to: Calculation (a fraction) and the final decimal probability.

Option analysis:
- Option "14,988 / 40,792": This numerator 14,988 represents the number of employees aged 35-44 with Business expertise (the Business row under the 35-44 column). The denominator 40,792 is the total number of employees aged 35-44 across all fields (the total in the 35-44 column). In probability terms, this is the conditional probability P(Business | Age 35-44) = (count of 35-44 & Business) / (total count of 35-44). Therefore, this fraction is the correct form to compute the probability in question.

- Option "0.3674": This is the decimal value of the fraction 14,988 / 40,792 when computed. To check mentally, 14,988 ÷ 40,792 is a number less than 0.5 and quite plausible around 0.36–0.37 given the counts. If you perform long division or use a calculator, you obtain approximately 0.3674, which matches the conversion from the fraction above. Thus this decimal is the numerical representation of the correct probability.

Why the other possible interpretations (if any) would be incorrect: If one were to use a denominator other than the total 35-44 count (for example, the grand total 136,394), the result would not reflect the conditional probability of Business given age 35-44 and would misrepresent the question. Since the table provides specific counts for age group 35-44 across fields, the appropriate denominator is 40,792. The numerator must be the Business count in that same age group (14,988). Hence the fraction is the correct calculation, and its decimal form is the correct final probability.

Summary: The two blanks are linked—the correct calculation is 14,988 / 40,792, which equals approximately 0.3674. The second blank should be filled with that decimal value, confirming the probability.

查看解析

登录即可查看完整答案

类似问题

Based on this contingency table the probability that a person who tested positive for asthma has asthma is

Let p=0.11 and q=0.62. What is P[X=0|Y=0]?

What is the probability that an athlete is not a drug user, given that the test is negative?

位置11的问题 The probability that a student gets a score above 70 on this exam given that they studied is necessarily equal to the probability that a student studied given that they got above a 70 on this exam.TrueFalseDon't Know清除选择

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单