Starting at a fixed time, each car entering an intersection is observed to see whether it turns left (L), right (R), or goes straight ahead (A). The experiment terminates as soon as a car is observed to turn left. Let X = the number of cars observed. What are possible X values?

Question

Mathematics

Harmony Walsh

13 January, 01:12

Starting at a fixed time, each car entering an intersection is observed to see whether it turns left (L), right (R), or goes straight ahead (A). The experiment terminates as soon as a car is observed to turn left. Let X = the number of cars observed. What are possible X values?

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Moyer · Answer 1

X can assume any integer value equal to or greater than 1.

X = [1, ∞)

Step-by-step explanation:

The lowest possible value of X occurs when the first car observed turns left, thus ending the experiment. In this case, X = 1.

On the other hand, although unlikely, it is possible that no car ever turns left and so the experiment could theoretically go on forever. In this case X → ∞

X can also assume any integer value in between those two extremes.

Therefore, X can assume any integer value equal to or greater than 1.