The thickness of a type of veneer is approximately normally distributed with mean 5 mm and standard deviation 0.2 mm.
a) What is the probability the thickness of a randomly selected piece is between 4.7 and 5.25 mm?
b) What is the probability the thickness of a randomly selected piece is greater than 5.3 mm?
c) What thickness is the 45th percentile (45% of the thicknesses are less than that value)?
d) What thicknesses constitute the middle 80% of the distribution?
e) Seven layers of veneer are used to make a sheet of plywood. What is the probability that three of them are thicker than 5.3 mm?
In: Statistics and Probability
Two separate capacitors, C1 and C2
C1 = 36 micro-Coulomb on 3 micro-Farad
C2 = 72 uC on 5 uF
C2 had a gap of 0.2m maintained by a compressed plastic spring inside the gap, the natural spring length was 0.5m, the compressed spring length was 0.2 m. Spring constant = 8,000 micro-Newton/ meter Action: Connected the two capacitors in parallel
Part A Find Q2-new, C2-new, new gap,
Part B Find the initial total energy, the final total energy
-use the energy formulas
In: Physics
A company financing itself or merging with an engineering
firm
profit of the R&D department in the next 10 years
predicted their values as follows:
Very successful Succesful
Unsuccessful
Develop it yourself 250 150
-100
Unıte 350 100 -100
The subjective (subjective) possibilities for the success of
R&D are 0.4, 0.4, 0.2, respectively.
It has been identified.
a) Which decision should be taken according to the expected value
criterion?
b) Which decisions according to Maksimaks, maksimin, Laplace,
Hurwicz (α = 0.50) decision criteria
should be taken?
In: Finance
You have a portfolio with a standard deviation of 21% and an expected return of 16%. You are considering adding one of the two stocks in the following table. If after adding the stock you will have 20% of your money in the new stock and 80% of your money in your existing portfolio, which one should you add?
|
Expected Return |
Standard Deviation |
Correlation with Your Portfolio's Returns |
|
|
Stock A |
12% |
25% |
0.2 |
|
Stock B |
12% |
17% |
0.5 |
What is the Standard deviation of the portfolio with stock A?
What is the Standard deviation of the portfolio with stock B?
In: Finance
Consider a population of 1000 birds in Florida. Gene 1 is in Hardy-Weinberg equilibrium, and the frequency of the N allele is 0.2. Also, there are 30 BB and 80 bb individuals. Answer the following:
a. What is the frequency of the R allele?
b. What are the frequencies of the RR, RN, and NN genotypes?
c. How many individuals have the RN genotype?
d. How many individuals have the Bb genotype?
e. What are the frequencies of the B and b alleles?
f. If I selected a bird at random from this population, what is the probability that the bird will have a BB genotype?
In: Biology
3. Suppose each time Illini freshman sensation Ko Cockburn shoots a free throw he has
a chance of making it.
a. Construct a prior distribution for theta to be Beta(a,b). What values should a and b
take so that the prior mean is 0.5 and the prior standard deviation is 0.2?
b. In his first game against Nicholls State Ko made 2 foul shots out of 6 attempts.
What was the posterior distribution for theta after this game?
c. What was the mean of the posterior distribition?
d. What was the standard deviation of the posterior distribution?
In: Statistics and Probability
Choose the most correct answer
Hysteresis error=0.1% FSO, repeatability error=0.15% FSO, and zero drift=0.2% FSO, then the overall instrument error is
In: Physics
A cell phone manufacturer inspects the video display on each color phone to verify that the screen can display all colors with the brilliance their customers have come to expect. Each phone is turned on, run through a self-test procedure, and classified as either acceptable or unacceptable based on test performance. Based on historical data, the manufacturer produces 0.2 percent defective displays. If they inspect 5000 phones each day for the next 10 days, what are the upper and lower control limits for their control chart if their sample mean mirrors their historical process
In: Statistics and Probability
Most surface waters have silica dissolved in it in the form of silicic acid H4SiO4 (pKa = 9.5) and its ionisation product H3SiO4 - .
(a) Calculate the mole fraction of H3SiO4 - and of H4SiO4 at pHs of 5.0, 6.0, 7.0, 8.0, 9.0, 10.0 and 11.0. The total silica concentration (H3SiO4 - + H4SiO4) is 0.2 mM. Assume that activity = concentration.
(b) Draw a plot with mole fraction on the y-axis and pH on the x-axis. Use the pH range 55.0 to 11.0.
(c) On the plot, at what pH do the two mole fraction lines intersect? What is the significance of this pH?
In: Chemistry
Air flows through a constant area duct. The pressure and temperature of the air at the inlet to the duct are P1 = 100 kPa absolute, and T1 = 298 K, respectively. Inlet Mach number is M1 = 0.1. Heat is transferred to the air as it flows through the duct and as a result the Mach number at the exit increases.
Write a Matlab code and plot the following:
a) Find the pressure and temperature at the exit, while the exit Mach number changes between M=0.2 to 0.99 with
increments of ?M=0.01.
b) Find the amount of heat that is transferred to the air per unit mass of air.
In: Mechanical Engineering