(a.)
If the occurred event could be attributed merely to a run of bad luck or if there is reason to suspect there is something is wrong with the light.
It has been determined that the occurred event where this week the red light was hit there all
Given:
The city claims that the new traffic light it just installed at the end of the street is on a cycle that makes it green in this direction for
Concept used:
Encountering a traffic light each day after leaving home is an independent event.
Calculation:
It is given that the new traffic light it just installed at the end of the street is on a cycle that makes it green in this direction for
So, the traffic light is red for
Then, the probability of encountering a red light every minute is
Moreover, encountering a traffic light each day after leaving home is an independent event.
This implies that the occurred event where this week the red light was hit there all
Conclusion:
It has been determined that the occurred event where this week the red light was hit there all
(b.)
The assumption, which the previous calculations have been based on and why that assumption may or may not be warranted.
It has been determined that the assumption, which the previous calculations have been based on is that the cycle is uniform for every minute.
It has been determined that, this assumption is warranted because according to the calculations based on this assumption, the occurred event is certainly plausible.
Given:
The city claims that the new traffic light it just installed at the end of the street is on a cycle that makes it green in this direction for
Concept used:
Encountering a traffic light each day after leaving home is an independent event.
Calculation:
As determined previously, the probability of encountering a red light every minute is approximately
Moreover, encountering a traffic light each day after leaving home is an independent event.
This implies that the occurred event where this week the red light was hit there all
The assumption, which the previous calculations have been based on is that the cycle is uniform for every minute.
Now, this assumption is warranted because according to the calculations based on this assumption, the occurred event is certainly plausible.
Conclusion:
It has been determined that the assumption, which the previous calculations have been based on is that the cycle is uniform for every minute.
It has been determined that, this assumption is warranted because according to the calculations based on this assumption, the occurred event is certainly plausible.
Chapter 10 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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