Question

The probabilities by subject of on-time assignment submission and on-time arrival to class are given in the table. What is the chance that the subject is physics if an assignment is submitted on time? 

Subject:   On-time Assignment:     On-time Arrival to Class:
PHYSICS                  89.7%                                     82.3%
MATH                        88.2%                                     88.7%
CHEMISTRY             89.4%                                     83.1%
BIOLOGY                  90.1%                                     82.4%
TOTAL                       88.5%                                     84.7%

A.)82.3%
B.)88.5%
C.)89.7%
D.)insufficient data

Answer 1

Given the data, we cannot determine the probability that the subject is physics if an assignment is submitted on time due to a lack of necessary information; thus, the answer is insufficient data. So the correct option is D.

Step-by-step explanation:

To find the chance that the subject is physics if an assignment is submitted on time, we must look at the percentage of on-time assignment submissions for physics and compare it to the total percentage of on-time assignment submissions across all subjects. The data provided does not include information on the number of students in each subject, or the overall probability of selecting a physics student. Therefore, we cannot make the calculation needed to answer the question and can conclude that the data is insufficient. The correct answer is D) insufficient data.

Answer 2

Look in the "on time" column (first column) and the "physics" row (row 1)

The value 89.7% is in this row and column intersection

Therefore, the probability of getting a physics assignment on time is 89.7%, so the answer is choice C.