What is the tan of 30 degrees
2 answers:
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Answer:
There is a 34.13% probability that the actual return will be between the mean and one standard deviation above the mean.
Step-by-step explanation:
This is problem is solving using the Z-score table.
The Z-score of a measure measures how many standard deviations above/below the mean is a measure. Each Z-score has a pvalue, that represents the percentile of a measure.
What is the probability that the actual return will be between the mean and one standard deviation above the mean?
One measure above the mean is
The mean is
This means that this probability is the pvalue of subtracted by the pvalue of
.
has a pvalue of 0.8413.
has a pvalue of 0.50.
This means that there is a 0.8413-0.50 = 0.3413 = 34.13% probability that the actual return will be between the mean and one standard deviation above the mean.
You could rewrite 
as
and be tempted to cancel out the factors of
. But this cancellation is only valid when 
.
When
, you end up with the indeterminate form 
, which is why 
is not a zero.
and be tempted to cancel out the factors of
When