Answer:
The probability that a student passed the test given that they did not complete the assignment is .
Step-by-step explanation:
The probability of an event <em>E</em> is the ratio of the number of favorable outcomes <em>n</em> (E) to the total number of outcomes <em>N</em>.
The union of two events is:
The intersection of the complements of two events is:
The condition probability of an event given that another event has already occurred is:
Denote the events as follows:
<em>A</em> = students who passed the test
<em>B</em> = students who completed the assignment
Given:
N = 27
n (A) = 17
n (B) = 22
= 3
Compute the value of P (<em>A</em> ∪ <em>B</em>) as follows:
Compute the value of P (A ∩ B) as follows:
Compute the value of P (A | B) as follows:
Thus, the probability that a student passed the test given that they did not complete the assignment is .
