Answer:
The probability that a student who completed the homework failed the test is 0.211.
Step-by-step explanation:
The probability of an event <em>E</em> is the ratio of the favorable number of outcomes to the total number of outcomes.
The conditional probability of an event <em>A</em> given that another event <em>B</em> has already occurred is:
Denote the events as follows:
P = a student passes the test
F = a student fails the test
X = a student completes the assignment
Y = a student does not completes the assignment
From the information provided the summary table is as follows:
P F Total
X <u>15</u> <u>4</u> 19
Y <u>2</u> <u>6</u> <u>8</u>
Total 17 <u>10</u> 27
Compute the probability that a student completed the assignment and failed the test as follows:
Compute the probability that a student completed the assignment as follows:
Compute the probability that a student failing the test given that the student completed the assignment as follows:
Thus, the probability that a student who completed the homework failed the test is 0.211.
