In a management trainee program, the probability a trainee is female is 0.45. The probability a female attended college is 0.41, while the probability a male attended college is 0.8. A management trainee is selected at random. (HINT - Draw yourself a tree diagram to answer the following questions!) Round each answer to 3 decimal places.
What is the probability a management trainee attended college or is a male?
In: Statistics and Probability
At CPP, the probability that a randomly chosen student is female is 0.45, the probability that the student is a business major is 0.20, and the probability that the student is female and a business major is 0.09. Use this information, answer the following questions: (a) What is the probability that the student is female or a business major? (4 points) (b) What is the probability that the student is female given that the student is a business major? (4 points) (c) What is the probability that the student is a business major given that the student is female? (4 points) (d) Are the events “female” and “business major” independent? Explain. (4 points) (e) Are the events “female” and “business major” mutually exclusive? Explain. (4 points)
In: Statistics and Probability
The probability that a household subscribes to HBO or Netflix is 0.80. Furthermore, the probability that a household subscribes to HBO is 0.25, and the probability that household does not subscribe to Netflix is 0.31.
a) Define the events.
b) Write down the given probabilities { i.e. P(__) = __ }.
c) What is the probability that a household subscribes to Netflix? Use proper notation {i.e. P(_)=_}.
d) What is the probability that a household subscribes to HBO and Netflix?
e) What is the probability that a household that subscribes to Netflix subscribes to HBO?
f) Are the events subscribing to HBO and subscribing to Netflix independent? Explain mathematically.
In: Statistics and Probability
(a) The probability of a defective item produced by a machine is 0.20.
Find the probability that at least 3 of the 5 next items produced by
a machine will be in this defective.
(b) Analyze skewness of the following data with formula and diagram.
1,2,5,2,3,1,3,1.
In: Statistics and Probability
| Q1)
There is a 33.70% probability of a below average economy and a
66.30% probability of an average economy. If there is a
below average economy stocks A and B will have returns of 2.70% and
14.90%, respectively. If there is an average economy
stocks A and B will have returns of 4.40% and -4.30%, respectively.
Compute the: a) Expected Return for Stock A (0.75 points): |
| b) Expected Return for Stock B (0.75 points): |
| c) Standard Deviation for Stock A (0.75 points): |
| d) Standard Deviation for Stock B (0.75 points): |
| Q2) There is a 48.20% probability of an average economy and a 51.80% probability of an above average economy. You invest 25.40% of your money in Stock S and 74.60% of your money in Stock T. In an average economy the expected returns for Stock S and Stock T are 14.90% and 14.90%, respectively. In an above average economy the the expected returns for Stock S and T are 35.80% and 17.50%, respectively. What is the expected return for this two stock portfolio? (2 points) |
| Q3) You are invested 27.90% in growth stocks with a beta of 1.80, 16.10% in value stocks with a beta of 0.52, and 56.00% in the market portfolio. What is the beta of your portfolio? (1 point) |
| Q4) An
analyst gathered the following information for a stock and market
parameters: stock beta = 0.75; expected return on the Market =
11.20%; expected return on T-bills = 2.30%; current stock Price =
$7.79; expected stock price in one year = $10.57; expected dividend
payment next year = $3.19. Calculate the a) Required return for this stock (1 point): |
| b) Expected return for this stock (1 point): |
| Q5) The
market risk premium for next period is 8.00% and the risk-free rate
is 1.20%. Stock Z has a beta of 1.15 and an expected return of
10.30%. What is the: a) Market's reward-to-risk ratio? (1 point): |
| b) Stock Z's reward-to-risk ratio (1 point): |
In: Finance
5. Find the probability for the following
A. What is the probability if z value is at least 2 (z=2 and more)?
B. What is the probability if z value is maximum 2 (z=2 and less)?
C. What is the probability if z value is between -2 and +1.25?
In: Economics
There is a 20 percent probability the economy will boom; a 20 percent probability of a recesion and otherwise, it will be normal. The Smith Company stock is expected to return 12 percent in a boom, 8 percent in a normal economy and -3 percent in a recession. The Johnson Company stock is expected to return 15 percent in a boom, 4 percent in a normal economy and -3 percent otherwise. What is the standard deviation of a portfolio that is invested 40 percent in the Smith Company stock and 60 percent in the Johnson Company stock?
In: Finance
Find the probability of a correct result by finding the probability of a true positive or a true negative.
In: Statistics and Probability
A probability of 1 is the same as a probability of 100%
The difference between interval and ordinal data is that interval data has a natural zero.
If you are doing a study and the population is Americans, the easiest type of study to run would be a simple random sample.
If your population is 80% female and your sample is 60% male, there is undercoverage bias.
In order to calculate a mean on Excel, we type in "=MEAN".
In: Statistics and Probability
Luke Skywalker (m = 60 kg) enters the Death Star to save Princess Leia. Suppose the Death Star is composed of 101 floors of equal mass, M = 1 x106 kg. Each floor is 10 m in thickness. Floor 0 is the outer surface. Luke enters at floor 1, beneath floor 0.
In: Physics