Suppose That All Students of a Class of 12 Get $$f ( x ) = \left\{ \begin{array} { l l } \frac { 630 } { x ^ { 2 } } & 90 < x < 105 \\0 & \text { elsewhere }\end{array} \right.$$

Short Answer

Suppose that all students of a class of 12 get tested for fever. Furthermore, suppose that the temperature of a student is a random variable with probability density function $$f ( x ) = \left\{ \begin{array} { l l } \frac { 630 } { x ^ { 2 } } & 90 < x < 105 \\0 & \text { elsewhere }\end{array} \right.$$ If 7 or more students have a fever above , the class is dismissed. If the students' temperatures are independent of one another, find the probability that they are dismissed.