The market and Stock J have the following probability distributions. Calculate the standard deviations for the Stock J.
| Probability | r M | r J |
| 0.3 | -10% | 10% |
| 0.4 | 20% | 18% |
| 0.3 | 25% | 30% |
|
6.22% |
||
|
14.87% |
||
|
12.50% |
||
|
3.85% |
||
|
7.81% |
In: Finance
The sample proportion p-bar provides an estimate for the population proportion p. The sampling distribution of the sample proportion is the probability distribution of the sample proportion.
Consider a population with a proportion p = 0.60, from which a sample of size n = 200 is drawn. What is the sampling distribution of the sample proportion p-bar?
Calculate the following probabilities using the distribution above:
P(? < 0.5)
P(? > 0.7)
P(0.5 < ? < 0.7)
In: Statistics and Probability
Suppose you took over a grocery store and try to find out the optimal quantity of chicken McNuggets you have to order from suppliers, as well as setting the right price for the chicken in your grocery store. You found the following data points from the previous grocery store owner:
Per capita consumption (in an arbitrary time interval): 70lbs/person
Price: $0.7/lb.
Price elasticity of demand: e = -0.55
Note, that this is the consumption for a price of $0.7. Assume that the inverse market demand is linear, i.e., Qd=a-bP.
a) Assume first that you offer the chicken McNuggets for a price of $1, instead of $0.7. How many nuggets should you offer p=$1?
b) In general, how many chicken McNuggets should you offer for any arbitrary price p?
In: Economics
In a non-ideal Rankine cycle saturated vapor (x=1) enters the turbine at 8.0 MPa and saturated liquid water (x=0) exits the condenser at a pressure of Pexit. Pexit = 0.006 MPa. The net power output of the cycle is given as 100 MW. Knowing that the isentropic efficiency of the pump is 0.85 generate the following plots in Excel or in similar programs for the given range of the isentropic efficiency of the turbine. (Please submit your Excel sheet or your computer program with the homework.)
a) Isentropic efficiency of the turbine 0.7 < ?T < 0.9 vs. steam mass flow rate
b) Isentropic efficiency of the turbine 0.7 < ?T < 0.9 vs. Rate of heat transfer from the boiler to the compressed water at the outlet of the pump
c) Isentropic efficiency of the turbine 0.7 < ?T < 0.9 vs. thermal efficiency of the cycle
In: Mechanical Engineering
Identifyassumptions you need to make to prepare
financial forecasts.
Discuss the risk of leasing hotel rooms to
investors.
In: Operations Management
Which of the solutions below is hyperosmotic, isoosmotic, and hypoosmotic relative to the Red Blood Cells (RBCs) BEFORE and AFTER blood is added?
0.15 M Urea
Before:
After:
What is the osmolarity before and after blood is added?
0.3 M NaCl + 0.3 M Urea
In: Biology
Daily sales at a store is a random variable, with values of $100, 300, 500, and 800 with probabilities 0.2, 0.2, 0.5, and 0.1 respectively. What is the expected value of sales?
In: Finance
Suppose the economy of a large nation has a defense industry, a banking industry, and a pharmaceutical industry. 1-unit output of defense requires 0.6 inputs of defense, 0.2 inputs of banking, and 0.2 inputs of pharmaceuticals. 1-unit output of banking requires 0.1 inputs of defense, 0.4 inputs of banking, and 0.5 inputs of pharmaceuticals. 1-unit output of pharmaceuticals requires 0.1 inputs of defense, 0.2 inputs of banking, and 0.2 inputs of pharmaceuticals.
If the nation wants to have surpluses of 106 units of defense production, 243 units of banking production, and 216 units of pharmaceutical production, find the gross production of each industry.
In: Accounting
For the amusement of the guests, some hotels have elevators on the outside of the building. One such hotel is 300 feet high. You are standing by a window 100 feet above the ground and 150 feet away from the hotel, and the elevator descends at a constant speed of 30 ft/sec, starting at time
t = 0,
where t is time in seconds. Let θ be the angle between the line of your horizon and your line of sight to the elevator.
(a) Find a formula for
h(t),
the elevator's height above the ground as it descends from the
top of the hotel.
h(t) =
(b) Using your answer to part (a), express θ as a function
of time
t.
θ(t) =
tan−1(2−t5)
Find the rate of change of θ with respect to
t.
| dθ |
| dt |
=
(c) The rate of change of θ is a measure of how fast the
elevator appears to you to be moving. At what height is the
elevator when it appears to be moving fastest?
h =
In: Math
Park Corporation is planning to issue bonds with a face value of $700,000 and a coupon rate of 7.5 percent. The bonds mature in 6 years and pay interest semiannually every June 30 and December 31. All of the bonds were sold on January 1 of this year. Park uses the effective-interest amortization method and also uses a discount account. Assume an annual market rate of interest of 8.5 percent. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided. Round your final answer to whole dollars.) Required: 1. Prepare the journal entry to record the issuance of the bonds. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.)
2. Prepare the journal entry to record the interest payment on June 30 of this year.
3. What bond payable amount will Park report on its June 30 balance sheet?
In: Accounting