the following is the results of a survey of students. the students were asked what division their major was…

the following is the results of a survey of students. the students were asked what division their major was in. a student is selected at random, find the following probabilities and round all answers to two decimal places:\n\n| division | frequency |\n| :--- | :--- |\n| education | 1732 |\n| mathematics | 1451 |\n| computer science | 1383 |\n| business | 2247 |\n| science | 1578 |\n| health professions | 1963 |\n| total | 10354 |\n\na) p(student is in health professions) =

the following is the results of a survey of students. the students were asked what division their major was in. a student is selected at random, find the following probabilities and round all answers to two decimal places:\n\n| division | frequency |\n| :--- | :--- |\n| education | 1732 |\n| mathematics | 1451 |\n| computer science | 1383 |\n| business | 2247 |\n| science | 1578 |\n| health professions | 1963 |\n| total | 10354 |\n\na) p(student is in health professions) =

Answer

Explanation:

Step1: Identify the frequency of Health Professions

The frequency for the Health Professions division is $1963$.

Step2: Identify the total number of students

The total number of students surveyed is $10354$.

Step3: Calculate the probability

The probability is the frequency of the specific division divided by the total frequency. $$P(\text{Health Professions}) = \frac{1963}{10354}$$

Step4: Perform division and round

Calculate the decimal value and round to two decimal places. $$\frac{1963}{10354} \approx 0.189588...$$

Answer:

0.19