Question

The length of time (in mins) that a certain lady speaks over telephoneis found to be random phenomenon, with a probability density functionf(x) asf(x) ={Ae−x/5,x≥0,Otherwise(i) Find the value ofA(ii) What is the probability that the number of minutes that she will talkover the phone is (a) more than 10 mins (b) less than 5 mins (c)between 5 and 10 mins

A*e ^(-x/5)

Answer 1

Answer:

lady speaks on the telephone is found to be random phenomenon, with a probability function specified by the probability density function f( x), as f(x)=Ae−x/5, for x>0 and f(x)= 0, otherwise

(a) Find the value of A that makes f (x) a p.d.f.

(b) What is the probability that the number of minutes that she will talk over the phone is (i) more than 10 minutes, (ii) less than 5 minutes