Answer:
Option D
Step-by-step explanation:
Given: set of inequalities
To find: Points which do not satisfy all the inequalities
Solution:
For point :
So, (15, 0) satisfies all the inequalities
For point :
So, (7.5, 7.5) satisfies all the inequalities
For point (22.5,2.5):
So, (22.5,2.5) satisfies all the inequalities
For point (7.5 ,0):
Put s = 7.5 and t = 0 in
which is false
So,
Answer:
Now we can find the second central moment with this formula:
And replacing we got:
And the variance is given by:
And replacing we got:
And finally the deviation would be:
Step-by-step explanation:
We can define the random variable of interest X as the return from a stock and we know the following conditions:
represent the result if the economy improves
represent the result if we have a recession
We want to find the standard deviation for the returns on the stock. We need to begin finding the mean with this formula:
And replacing the data given we got:
Now we can find the second central moment with this formula:
And replacing we got:
And the variance is given by:
And replacing we got:
And finally the deviation would be: