Question 1168788: RATSA is planning to enforce speed limits along Great North road by
using speed cameras at 4 different locations, L1, L2, L3 and L4. The
speed camera at L1 is operated 50% of the time, the speed camera at
L2 is operated 30% of the time, the speed camera at L3 is operated 20%
of the time and the speed camera at L4 is operated 40% of the time.
A person who is speeding from for work has probabilities 0.2, 0.1, 0.5
and 0.2 respectively, of passing through these locations.
(i) What is the probability that the person will receive a speed ticket?
(ii) If the person received the speed ticket, what is the probability
that it was at L3 where he violated speed limit rules?
Answer by ikleyn(52810)   (Show Source):
You can put this solution on YOUR website! .
(i) P = 0.2*0.5 + 0.1*0.3 + 0.5*0.2 + 0.2*0.4. (*)
My formula is self-explanatory. I specially left it in this form in order for you could recognize its logic from its form.
If you want to get the numerical value, use your calculator.
(ii) It is to determine the CONDITIONAL probability.
The formula is
P =  .
In this formula, the numerator relates to functioning the camera L3.
Looking into its denominator, recognize the formula (1) from part (i) above.
Solved and explained in all details.
Now you know "HOW TO . . . ".
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