5. There are two traffic lights, working independently, on your way home. Each light is either Red (R), Yellow (Y) or Green (G) with probabilities P(R) 0.3 , P(Y ) 0.2 , and P(G) 0.5 . The experiment consists of recording the colors of the traffic lights when a vehicle is 20 feet away from the light. а. List the outcomes in the sample space and find the probabilities for each outcome in the sample space.(Hint: P(RG) P(R) P(G) (0.3)(0.5) 0.15) b. What is the probability of stopping exactly at one of the lights? c. What is the probability of not stopping at any of the lights?

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5. There are two traffic lights, working independently, on your way home. Each light is either Red (R),
Yellow (Y) or Green (G) with probabilities P(R) 0.3 , P(Y ) 0.2 , and P(G) 0.5 . The experiment consists
of recording the colors of the traffic lights when a vehicle is 20 feet away from the light.
а.
List the outcomes in the sample space and find the probabilities for each outcome in the
sample space.(Hint: P(RG) P(R) P(G) (0.3)(0.5) 0.15)
b. What is the probability of stopping exactly at one of the lights?
c. What is the probability of not stopping at any of the lights?
Transcribed Image Text:5. There are two traffic lights, working independently, on your way home. Each light is either Red (R), Yellow (Y) or Green (G) with probabilities P(R) 0.3 , P(Y ) 0.2 , and P(G) 0.5 . The experiment consists of recording the colors of the traffic lights when a vehicle is 20 feet away from the light. а. List the outcomes in the sample space and find the probabilities for each outcome in the sample space.(Hint: P(RG) P(R) P(G) (0.3)(0.5) 0.15) b. What is the probability of stopping exactly at one of the lights? c. What is the probability of not stopping at any of the lights?
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