Question

Several students at a university were surveyed about now they

Answer 1

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

First all data need to be properly represented..

Let U, G, Ro and Rp represented Undergraduate, Graduate, Registered online and Registered in person respectively

The data on first row represent data for undergraduate;.

Hence U = 211 + 347

U = 558

The data on the second row represent data for graduate;.

Hence G = 329 + 581

G = 910

The data on first column represent data for registered online

Hence Ro = 211 + 329

Ro = 540

The data on the second column represent data for registered in person;.

Hence Rp = 347 + 581

Rp = 928

Total student that participated in the survey = 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

$P(U) = \frac{558}{1468}$

P(Ro) = probability of selecting a registered online student

P(Ro) = number of registered online student divided by total

$P(Ro) = \frac{540}{1468}$

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

$P(U and Ro) = \frac{211}{1468}$

By substituting each of these expressions, we have

$P(U or Ro) = \frac{558}{1468}+ \frac{540}{1468} - \frac{211}{1468}$

$P(U or Ro) = \frac{558 + 540 - 211}{1468}$

$P(U or Ro) = \frac{887}{1468}$

$P(U or Ro) = 0.604223$

$P(U or Ro) = 0.604$ (Approximated).

Hence, probability of selecting an undergraduate and registered online student is 0.604