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vovangra [49]
3 years ago
6

Charlie’s portfolio has an expected annual return at 10%, with an annual standard deviation at 12%. Assume his investment return

s follows a normal distribution.What is the probability that the actual return will be between the mean and one standard deviation above the mean?Use 2 decimal points.
Mathematics
1 answer:
Deffense [45]3 years ago
3 0

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 Z = 1

The mean is Z = 0

This means that this probability is the pvalue of Z = 1 subtracted by the pvalue of Z = 0.

Z = 1 has a pvalue of 0.8413.

Z = 0 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.

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