Answer :
Yes, Alexa can take the light rail train to work.
Step-by-step explanation:
The number of times, the light rail is on time = 24 times out of 25 times
So, the probability of train reaching on time = [tex](\frac{24}{25} )[/tex]
Let us assume the total number of days train is on time = k
Also, total number of days train woks = 100
Now, as per given condition, the probability of train being on time should be equal to the number of days, train is on time.
[tex]\implies \frac{k}{100} = \frac{24}{25} \\\implies k = 96[/tex]
So, the train is on time 96 days out of total 100 days.
So, the percentage of train being on time = 96%
⇒ The percentage of train being late = (100 - 96) % = 4%
Also, the percentage of time she can be late to work = 5%
and 4% < 5%
⇒Yes, Alexa can take the light rail train to work.