Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ=0.1. What isthe conditional probability that a repair takes at least 10 hours, given that it takes more than 8 hours?

Step-by-step explanation:

Given that the time  (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ=0.1.

Let X be the time taken for a repair

The conditional probability that a repair takes at least 10 hours, given that it takes more than 8 hours

= P(X≥10/x>8)

=

Parameter = 0.1

F(10) =

F(8) =

Hence answer  =0.8187

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl