3. The market portfolio expected return is 8% and its standard deviation is 16%. The risk-free rate is 1%. Assume that the CAPM holds. What is the standard deviation of the portfolio that invests 40% in the risk-free asset and 60% in the market? A. 8.1%. B. 9.6%. C. 10.5%. D. 11.1%. (use financial calculator)

4. The beta of company XYZ’s stock is 2. The annual risk-free rate is 2% and the market portfolio’s expected return is 9%. What is the expected return of the company’s stock? (use financial calculator) A 16% B.20% C.14 D.17%

5. The stock ABC has a beta of 1.6 and its standard deviation is 30%. Its correlation coefficient with the market return is 0.8. What is the standard deviation of the market return?(use financial calculator)

1. 18%.
2. 15%.
3. 20%.
4. None of the answers is correct

Suppose that the average number of equipment breakdowns at a factory per week is 5. Later we’ll show that the average is our best guess at the expected value of ? = ?ℎ? ?????? ?? ????????? ?????????? ?? ? ????? ???? (assuming that this distribution stays the same across multiple weeks.) It’s also known that, through some other sample statistic, that our best guess at the standard deviation of X given the data is 0.8. a. With the help of our boy Chebyshev, find an interval such that we can be at least 90% that the number of breakdowns next week will fall within that range. b. Suppose that the supervisor promises the board of directors that the number of breakdowns will rarely exceed 8 in a one- week period. Is the supervisor safe in making this claim? Why or why not? c. Google Chebyshev and just stare at this guy’s magnificent beard for a few seconds. You don’t need to write anything down. You’re welcome.

Complete parts​ (a) and​ (b) below.

The number of dogs per household in a small town

(a) Find the​ mean, variance, and standard deviation of the probability distribution.

Find the mean of the probability distribution.

u=___(Round to one decimal place if needed)

Find the variance of the probability distribution.

o2=___(round to one decimal place if needed)

find the standard deviation of the probability distribution

o=____(round to one decimal place when needed)

(b) Interpret the results in the context of the​ real-life situation.

A) a household on average has 0.5 dogs with a standard deviation of 0.9 dogs

B. A household on average has

0.5

dog with a standard deviation of

eleven

dogs.

C. A household on average has

0.9

dog with a standard deviation of

0.5

dog.

D.

A household on average has

0.8

dog with a standard deviation of

0.9

dog.

.9

An ultrasound machine in a hospital uses a sound source at 19.00000MHz.

1. Assuming that the speed of the ultrasound in the body is same as water (1440 m/s), determine the wavelength in the body.
2. If blood cells are moving towards the sound source at a speed of 0.8 m/s, at what frequency do the crests of the sound wave pass through the blood cell?
3. What is the frequency of the sound waves reflected back towards the source by the blood cells?
4. 1. If the sound level intensity is 17.0 dB at a point d₁ = 6.8 cm from the source, what is the sound intensity at that point in W/m². (We can assume that 0 dB is referenced to 10^-12 W/m²).
   2. Assume that sound is emitted from a point source, so that the intensity decreases quadratically with distance. What is the intensity level in dB at a point d₂ = 2.0cm from the source?

A certain soccer player has made 80% of her penalty shots over her professional career. She is injured, but recovers. On her return, she only makes 5 of her first 10 penalty shots.

1. Assuming she is actually just as good at penalty shots as she was before her injury and each shot is independent of each other shot, calculate the probability of her making exactly 5 out of 10 penalty shots.

2. Calculate the probability of her making 5 or fewer penalty shots out of 10, assuming she is still an 80% shooter.

3. The previously calculated value could be thought of as the p-value for a hypothesis test. The null hypothesis for this test is H₀: p=0.8. Define p in context and write the alternative hypothesis for this test.

4. What conclusion would you draw about the soccer player’s penalty shot ratio?

Assume an economy where there are no supply constraints and where businesses want to invest 15 billion; government collects 20 billion in income taxes and also spends 20 billion; next exports are -5 billion; autonomous consumption is 10 billion; and the MPC is 0.8

a) Write out the Aggregate Expenditure function and calculate the equilibrium level of income.

b Now assume that the government increases both taxes and expenditures by 25 percent. What happens to the equilibrium level of income?

8)A math course has 3 tests during the semester and a test. Each test counts for 20 percent of the course grade, and the test counts for 40 percent of the course grade. JJ has scored 50 out of 100 in each of the 3 tests. What grade does JJ need to get in the test (score out of 100) in order to reach the score of 60 for the whole course?