Question 503575: Hi! Can you please help out with this problem? I can come up with the z scores... like z(0) = (0-0.052)/0.086 = -0.60465... but I don't have a financial calculator and don't know what the formula is for finding out the probability. Thank you so much!
An investment broker reports that the yearly returns on common stocks are approximately normally distributed with a mean return of 12.4 percent and a standard deviation of 20.6 percent.
On the other hand, the firm reports that the yearly returns on tax free municipal bonds are approximately normally distributed with a mean return of 5.2 percent and a standard deviation of 8.6 percent. Find the probability that a randomly selected:
A) Common stock will give a positive yearly return
B)Tax free municipal bond will give a positive yearly return.
C) Common stock will give more than a 10 percent return.
D) Taxfree municipal bond will give more than a 10 percent return.
E) Common stock will give a loss of at least 10 percent.
F) Tax free municipal bond will give a loss of at least 10 percent
Recalling from this problem that yearly returns on common stocks are normally distributed with a mean of 12.4 percent and a standard deviation of 20.6 percent.
A) What percentage of yearly returns are at or below the 10th percentile of the distribution of yearly returns? What percentage are at or above the 10th percentile? Find the 10th percentile of the distribution of yearly returns.
B) Find the first quartile, Q1 and the third quartile, Q3 of the distribution of yearly returns.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An investment broker reports that the yearly returns on common stocks are approximately normally distributed with a mean return of 12.4 percent and a standard deviation of 20.6 percent.
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On the other hand, the firm reports that the yearly returns on tax free municipal bonds are approximately normally distributed with a mean return of 5.2 percent and a standard deviation of 8.6 percent.
Find the probability that a randomly selected:
A) Common stock will give a positive yearly return:::
normalcdf(0,1,0.124,0.206) = 0.7264
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B)Tax free municipal bond will give a positive yearly return.
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C) Common stock will give more than a 10 percent return.
normalcdf(0.1,1,0.124,0.206)= 0.5464
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D) Taxfree municipal bond will give more than a 10 percent return.
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E) Common stock will give a loss of at least 10 percent.
normalcdf(-1,-0.1,0.124,0.206) = 0.1384
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F) Tax free municipal bond will give a loss of at least 10 percent
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Recalling from this problem that yearly returns on common stocks are normally distributed with a mean of 12.4 percent and a standard deviation of 20.6 percent.
A) What percentage of yearly returns are at or below the 10th percentile of the distribution of yearly returns?
normalcdf(-1,0.1,0.124,0.206) = 0.4536
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et. cetera
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Cheers,
Stan H.
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What percentage are at or above the 10th percentile?
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Find the 10th percentile of the distribution of yearly returns.
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B) Find the first quartile, Q1
and the third quartile, Q3
of the distribution of yearly returns.
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