1(b)
The graph below has several tables representing the probability distribution (CO1)
values of the given 5 variables.
$e^0$
0.7
$e^1$
0.3
Exam level
IQ level
$i^0$
0.8
$i^1$
0.2
$i^0$, $e^0$
$m^0$
0.6
$m^1$
0.4
Marks
Apti. score
$i^0$, $e^1$
0.9
0.1
$i^1$, $e^0$
0.5
0.5
$i^1$, $e^1$
0.8
0.2
Admission
$a^0$
$a^1$
$m^0$
0.6
0.4
$m^1$
0.9
0.1
$s^0$
$s^1$
$i^0$
0.75
0.25
$i^1$
0.4
0.6
a) Calculate the probability that in spite of the exam level being
difficult, the student having a low IQ level and a low Aptitude
score, manages to pass the exam and secure admission to the
university.
b) Calculate the probability that the student has a High IQ level and
Aptitude Score, the exam being easy yet fails to pass and does not
secure admission to the university.