Fluids of viscosities μ1=0.15 N‐s/m2 and μ2=0.18 N‐s/m2 are contained between two plates (each plate is 0.85 m2 in area). The thicknesses are h1=0.6 mm and h2=0.3 mm, respectively. Find the force F to make the upper plate move at a speed of 1.5 m/s. What is the fluid velocity at the interface between the two fluids?
In: Other
Ebenezer Scrooge has invested 50% of his money in share A and the remainder in share B. He assesses their prospects as follows:
A B
Expected return (%) 18 19
Standard deviation (%) 20 24
Correlation between returns 0.3
a. What are the expected return and standard deviation of returns on his portfolio?
b. How would your answer change if the correlation coefficient were 0 or –0.30?
In: Finance
You’ve identified a comparable firm for a new division you are heading up. The comparable has an equity beta of 1.4 and its debt has a beta of 0.3. The equity of the comparable has a market value of $30B and has $4B in debt outstanding. The market risk premium is 6% and the risk-free rate is 2%. What is the appropriate discount rate to use for your division’s assets/projects?
In: Finance
There are two traffic lights on a commuter's route to and from work. Let X1 be the number of lights at which the commuter must stop on his way to work, and X2 be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X1, X2 is a random sample of size n = 2).
| x1 | 0 | 1 | 2 | μ = 1, σ2 = 0.6 | |
| p(x1) | 0.3 | 0.4 | 0.3 |
(a) Determine the pmf of To = X1 + X2.
| to | 0 | 1 | 2 | 3 | 4 |
| p(to) |
(b) Calculate
μTo.
μTo
=
How does it relate to μ, the population mean?
μTo = ·
μ
(c) Calculate
σTo2.
| σTo2 | = |
How does it relate to σ2, the population
variance?
σTo2
= · σ2
(d) Let X3 and X4 be the
number of lights at which a stop is required when driving to and
from work on a second day assumed independent of the first day.
With To = the sum of all four
Xi's, what now are the values of
E(To) and
V(To)?
| E(To) = | |
| V(To) = |
(e) Referring back to (d), what are the values of
P(To = 8) and P(To ≥ 7)
[Hint: Don't even think of listing all possible outcomes!] (Enter your answers to four decimal places.)
|
P(To = 8) = |
|||||||||||||||||||||||||||||||||
|
P(To ≥ 7) = |
There are two traffic lights on a commuter's route to and from work. Let X1 be the number of lights at which the commuter must stop on his way to work, and X2 be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X1, X2 is a random sample of size n = 2).
(a) Determine the pmf of To = X1 + X2.
P(To = 8) and P(To ≥ 7) [Hint: Don't even think of listing all possible outcomes!] (Enter your answers to four decimal places.)
|
In: Math
Two hFGF-1 mutants, A and B, are purified using a heparin-Sepharose column. Mutant A is eluted upon addition of 0.1M NaCl. Mutant B is eluted upon addition of 0.2 M NaCl. Which protein has a higher affinity for heparin? Is either protein expected to be 100% pure after this purification step?
In: Chemistry
An athletics coach states that the distribution of player run times (in seconds) for a 100-meter dash is normally distributed with a mean equal to 14.00 and a standard deviation equal to 0.2 seconds. What percentage of players on the team run the 100-meter dash in 14.44 seconds or faster? (Round your answer to two decimal places.)
In: Statistics and Probability
A solenoid with 2000 turns/meter is connected to a power source that delivers an increasing current i60t^2 Ampere.The solenoid has a length of 0.2 m and a radius of 0.05 m.
a.what is the magnetic field as a function of timr inside the solenoid?
b.Use Faraday's law to find the induced emf caused by this changing magnetic field.
In: Physics
In: Economics
Stock A has an expected return of 20% and a standard deviation of 28%. Stock B has an expected return of 14% and a standard deviation of 13%. The risk-free rate is 6.6% and the correlation between Stock A and Stock B is 0.2. Build the optimal risky portfolio of Stock A and Stock B. What is the expected return on this portfolio?
In: Finance
Stock A has an expected return of 18% and a standard deviation of 33%. Stock B has an expected return of 13% and a standard deviation of 17%. The risk-free rate is 3.6% and the correlation between Stock A and Stock B is 0.2. Build the optimal risky portfolio of Stock A and Stock B. What is the standard deviation of this portfolio?
In: Finance