Question

A survey is conducted at a college with ​students, faculty​ members, and administrators. Each of these individuals has a single email address listed in the online campus directory. Suppose one email address was selected at random. What is the probability it would be​ (a) a​ student, (b) a faculty​ member, (c) an​ administrator, (d) a faculty member or​ administrator, and​ (e) anyone except an​ administrator? (f) Explain your answers to someone who has never had a course in statistics.

Answer 1

Incomplete question. First, we need to know the number (population) of persons in the survey. Let's assume;

• the number of college students is 800 students,
• the number of faculty members is 50
• the number of administrative staff members is 150

Total population = 1,000 individuals

Step-by-step explanation:

a) To find the probability it would be a​ student, we divide the number of college students by the total population= 800/1000 = 0.8%

(b)To find the probability it would be a faculty​ member, we divide the number of faculty​ members by the total population= 50/1000= 0.05%

(c) To find the probability it would be an​ administrative staff, we divide the number of administrative staffs by the total population= 150/1000 = 0.15%

(d) To find the probability it would be a faculty member or​ administrator, we add the number of faculty members with the number of administrative staffs and then divide by the total population= (50+150)/1000= 0.2%

(e) To find the probability it would be anyone except an administrator, we subtract the number of administrative staffs from the total population and then divide by the total population= 1000-150= 850/1000= 0.85%

(f) Need to note that statistics involves finding percentages, probability, and data analysis.