Answer:
B. The probability of selecting an undergraduate and registered online student is 0.604
Step-by-step explanation:
Given
-----------------------Registered Online Registered In Person
Undergraduate --211 -- 347
Graduate --- 329 --- 581
Required
Probability that a randomly selected student is either an
undergraduate or registered online
<em>First all data need to be properly represented..</em>
Let U, G, Ro and Rp represented Undergraduate, Graduate, Registered online and Registered in person respectively
<u>The data on first row represent data for undergraduate;.</u>
Hence U = 211 + 347
U = 558
<u>The data on the second row represent data for graduate;.</u>
Hence G = 329 + 581
G = 910
<u>The data on first column represent data for registered online</u>
Hence Ro = 211 + 329
Ro = 540
<u>The data on the second column represent data for registered in person;.</u>
Hence Rp = 347 + 581
Rp = 928
<u>Total student that participated in the survey </u>= 211 + 347 + 329 + 581
Total = 1468
Probability that a randomly selected student is either an undergraduate or registered online is represented as P(U or Ro)
From probability formula;
P(U or Ro) is calculated as follows
P(U or Ro) = P(U) + P(Ro) - P(U and Ro)
Where P(U) = probability of selecting an undergraduate student
P(U) = number of undergraduates divided by total
P(Ro) = probability of selecting a registered online student
P(Ro) = number of registered online student divided by total
P(U and Ro) = probability of selecting an undergraduate and registered online student
P(U and Ro) = number of undergraduates and registered online students divided by total
From the table above, number of undergraduates and registered online = 211
By substituting each of these expressions, we have
(Approximated).
Hence, probability of selecting an undergraduate and registered online student is 0.604