Question

A random variable X has an exponential distribution with probability distribution

function is given by

f(x)= 3e-3x for x>0 = 0 otherwise

Find probability that X is not less than 2.​

Answer 1

Let the at A be x k

and the B be y k

when the is x−y

Dist=100km

⟾ =5 hours

∴  Dist =S×T

⟾ 100=(x−y)5

⟾ x−y=20⟶(I)

when THE is x+y

⟾ Dist=100km

⟾ t=1 hours

⟾ Dist=ST

⟾ 100=(x+y)1

⟾ x+y=100⟶(II)

Solving (I) & (II)

⟾ x−y=20

⟾ x+y=100

​⟾ 2x=120

⟾ x=60km/h

⟾ y=40km/h