Question

A recent survey found that the likelihood that a student registered at a particular higher education

institution for an honours degree in Statistics is 0:85. The same survey found that the likelihood that

the student is female and she is registered for an honours degree in Statistics is 0:25. What is the

probability that a student selected at random at a particular higher education institution is female

given that she is registered for an honours degree in Statistics?

Answer 1

Let R be the likelihood that a student is registered at a particular higher education institution for an honours degree in Statistics

Also let F represent female

$P(R)=0.85$

$P(F\cap R)=0.25$

$P(F|R)=\frac{P(F\cap R)}{P(R)}$

$=\frac{0.25}{0.85}$

$=0.29412$