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(13)=0.36F(21)=0.41F(26)=0.44F(33)=0.5F(40)=0.55F(48)=kF(54)=0.63F(60)=0.69

Assuming that Pr[21