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?
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"
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