A particularly long traffic light on your morning commute is green 17% of the time that you approach it. Assume that each morning represents an independent trial. Over 20 mornings, what is the probability that the light is green on exactly 4 day

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Answer:

Step-by-step explanation:

Assuming that we are only trying to calculate the probability of the light being green ONLY on day 4 then it would be the exact same probability as every other day, which would be 17%. Now if we are trying to calculate the probability of the light being green on the first consecutive 4 days then we would need to multiply this probability (in decimal form) four times for the four days like so...

0.17 * 0.17 * 0.17 * 0.17 = x

0.00083521 = x   ... times by 100 to get percentage

0.00083521 * 100 = 0.0835%

So the probability of the light being green 4 days in a row during your commute is 0.0835%

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