Answer:
0.619
Step-by-step explanation:
from the question we have the following data:
probability of motor 1 breaking = 65% = 0.65
probability of motor 2 breaking = 35% = 0.35
probability of motor 3 breaking = 5% = 0.05
since we have 3 motors the probability of any of them breaking down is =
but what the question requires from us is the conditional probability of the first one being installed
we have to solve this questions using bayes theorem
such that:
=
=
= 0.618966
approximately 0.619
therefore the conditional probability ralph installed the first motor is 0.619