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.

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.(iii)What is the probability that lecture continues for atleast 90 seconds beyond the bell?

Let X = time (in minutes ) that lapses between the bell and the end of the lectures in cases of a collge professor. Suppose X has p.d.f f(x) ={{:(kx^(2),0 le x le 2),(0,"otherwise"):} What is the probability that lecture ends within 1 minute of the bell ringing ?

Let X = time (in minutes ) that lapses between the bell and the end of the lectures in cases of a collge professor. Suppose X has p.d.f f(x) ={{:(kx^(2),0 le x le 2),(0,"otherwise"):} Find the value of k.

The time (in minutes)that a lab assistant to prepare the equipment for a certain experiment is a random variable taking values between 25 and 35 minutes with pdf f(x)=1/10,25lexle35 ,=0,otherwise.What is the probability that preparation time exceed 33 minutes?Also find cdf of X.

Suppose that X is waiting time in minutes for a bus and its p.d.f is given by. f(x)=1/5,for 0lexle5 and =0 otherwise.Find the probability that (i)Waiting time is between 1 and 3.

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 denote the reaction temperature (in 0^@ C ) of a certain chemical process.Let X be a continuous r.v.with pdf f(x)=kx^2,-5lexle5=0 ,otherwise.Compute P(X<0) .

P.d.f of a c.r.v X is f(x)=6x(1-x) ,for 0lexle1 and =0,otherwise(elsewhere) If P(X a) , then a=