Question

You are conducting a survey at a college with 800 students, 50 faculty members, and 150 administrators. Each of these 1,000 individuals has a single email address listed in the online campus directory. Suppose you were to select one email address 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

Answer 1

Answer:

a) 0.8

b)0.05

c)0.15

d)0.2

e)0.85

Step-by-step explanation:

a)

The probability of selecting student can be computed as

P(S)=number of students in survey/total number of individuals

P(S)=800/1000=0.8

b)

The probability of selecting faculty member can be computed as

P(F)=number of faculty member in survey/total number of individuals

P(F)=50/1000=0.05

c)

The probability of selecting administrator can be computed as

P(A)=number of administrator in survey/total number of individuals

P(A)=150/1000=0.15

d)

The probability of selecting faculty member or administrator can be computed as

P(A or F)=P(A)+P(F)-P(A∩F) as A and F are mutually exclusive so P(A∩F) will be zero,

P(A or F)=P(A)+P(F)=0.15+0.05=0.2

e)

The probability of selecting except administrator can be computed as

P(A')=1-P(A)=1-0.15=0.85