Respuesta :
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 [tex]Z = 1[/tex]
The mean is [tex]Z = 0[/tex]
This means that this probability is the pvalue of [tex]Z = 1[/tex] subtracted by the pvalue of [tex]Z = 0[/tex].
[tex]Z = 1[/tex] has a pvalue of 0.8413.
[tex]Z = 0[/tex] 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.
