Downsville has two computer-controlled traffic lights on a major city street. The probability of getting a red light is 0.45, and the probability of getting a red light at the second one is 0.20 if you had been stopped at the first one. What is the probability of being stopped by red lights at both intersections? (2 marks)

There are two traffic lights on Fred’s route from home to work. Over the years Fred has tracked when he has to stop at these lights. He determined that 45% of the time he has to stop at the first light; 30% of the time he has to stop at the second light, and 20% of the time he has to stop at both lights.Let A be the event that Fred has to stop at the first light. Let B be the event that Fred has to stop at the second light. What is the probability that Fred has to stop at one or more lights on his way to work?0.6150.550.650.95

A local street contains 7 street lights. The probability that any one street light does not work is 0.30. What is the probability that at least one does not work?Question 2Answera.0.9563b.0.9998c.0.9176d.0.0002e.0.0824

The speeds and colours of 19001900 passenger cars passing a speed camera are recorded. Colours are recorded as being red, white or other. 30% are white and 45% are colours other than red or white. There are 300300 cars which are speeding and 7575 which are red and not speeding.What is the probability that a randomly selected car is speeding?%What is the probability a randomly selected car has red color and is speeding? %

(b)Find the probability that it is discolored.

An airport security has two checkpoints. Let A be the event that the first checkpoint isbusy, and B be the event that the second checkpoint is busy. Assume that Pr(A) = 0.2,Pr(B) = 0.4 and Pr(A ∩ B) = 0.08. Find the probability that neither of the two checkpointsis busy