Suppose X is a discrete random variable which only takes on positive integer values. For the cumulative distribution function associated to X the following values are known:...

Suppose X is a discrete random variable which only takes on positive integer values. For the cumulative distribution function associated to X the following values are known:

F(18)=0.4F(25)=0.44F(33)=0.5F(41)=0.53F(46)=0.56F(52)=kF(57)=0.64F(65)=0.67

Assuming that Pr[25