Question-74

CDF

A teacher observes that the cumulative distribution function (CDF) for the scores on a mathematics test is

\[F(x) = \begin{cases} 0, & x<0\\ x^2, &0\leq x \leq 1\\ 1, & x>1 \end{cases}\] for \(0 \leq x \leq 1,\)

where \(x\) is the score normalized to \(1\). If a student scores above \(0.7\), what is the conditional probability that they actually score above \(0.9?\) Enter the answer correct up to two decimal places.

0.37