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Marina CMI [18]
2 years ago
7

Assume the returns from an asset are normally distributed. The average annual return for the asset is 17.4 percent and the stand

ard deviation of the returns is 27.5 percent. What is the approximate probability that your money will double in value in a single year?
Mathematics
1 answer:
Jlenok [28]2 years ago
6 0

Answer:

0.13%

Step-by-step explanation:

Mean, u = 17.4%

standard deviation, sd = 27.5%

We are looking for the probability that the money will double in value. Therefore we are looking for the value of x = 100% (meaning the value is 100% more that the previous year)

Find the value of z-score

z = (x-u)/sd

  = (100 - 17.4) / 27.5 = 3.003

Find the z score using the z-table

From z-table at P(z<3.003) = 0.9987

So, for the probability that it the money will be double is

P (Z>2.8982) = 1 - P(z<2.8982)

                      = 1- 0.9987

                      = 0.0013  = 0.13%

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The correct answer is g(x)=-x-6

EXPLANATION

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The image function will have the ordered pair (x,-y)

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