Answer:
120
Step-by-step explanation:
There are 5 ways to choose the first position, 4 ways to choose the second and so on until we get only 1 way to choose the last position, therefore the answer is 5! = 5 * 4 * 3 * 2 * 1 = 120 ways.
We are given that the amount of time for a given color is:
<span>A. </span>Day
Green = 2 min
Red = 3 min
Yellow = 20 sec = 0.333 min
Total day cycle time= 5.33 min
<span>B. </span>Night
Green = 3 min
Red = 4 min
Yellow = 30 sec = 0.5 min
Total night cycle time= 7.5 min
We calculate for the probabilities of waiting at red for
day and night:
Pday= 3 min/5.33 min= 0.5625
Pnight= 4 min/7.5 min= 0.5333
<span>Pdifference= 0.02917 = 2.92%</span>
<span>Therefore it is more likely to wait at red during day
time by 2.92%.</span>
