Let X=amount of time for which on book is taken out of a college library by a randomly selected student and suppose X has pdf `f(x)=0.5x,0lexle2`,and =0,otherwise.Calculate (ii)`P(0.5leXle1.5)`

Let X = amount of time for which on book is taken out of a college library by a randomly selected student and suppose X has pdf f(x)=0.5x,0lexle2 , and =0 ,otherwise. Calculate (iii) P(X>1.5)

Let X be the amount of time for which a book is taken out of library by a randomly selected student and suppose X has pdf f(x)=0.5 x,for 0lexle2 ,=0,otherwise.Calculate(ii) P(0.5lexle1.5)

Let X be the amount of time for which a book is taken out of library by a randomly selected student and suppose X has pdf f(x)=0.5 x,for 0lexle2 ,=0,otherwise.Calculate(i) P(xle1)

If the p.d.f of a random variable X is f(x)={(0.5x, 0lexle2), (0, "otherwise"):} Then the value of P(0.5 le X le 1.5) is

Let X =time (in minutes) that elapser betweeb the bell and the end of the lecture in case of a college professor.Suppose X has a pdf. f(x)=kx^2,0lexle2 and =0,otherwise.(i)Find k.

Let X =time (in minutes) that elapser betweeb the bell and the end of the lecture in case of a college professor.Suppose X has a pdf. f(x)=kx^2,0lexle2 and =0,otherwise.(ii)What is the probability that lecture ends within 1 minute of the bell ringing.