Derive the unique subgame perfect Nash equilibrium payoffs for two players who have different discount factors (take the discount factor of player 1 as 0.6 and the discount factor of player 2 as 0.8) in a five‐period alternating offers bargaining game. Assume that player 1 is the first mover.

(i) What happens to these payoffs if you keep players' discount factors constant but make player 2, the first mover? Explain.

(ii) What happens to these payoffs if you keep discount factors and the first-mover the same, but increase the number of periods from 5 to 7? Explain

A device consists of 100 independent modules of equal functionality. Zk is the event that the kth group works reliably. a) What is the probability that the device will work reliably at P (Zk) = 99%?

There are four independently operating machines in a hall, which do not fail within a certain period of time with the probabilities 0.9, 0.95, 0.8 and 0.85, respectively. Calculate the probability that in this period a) all four machines work b) no machine works c) exactly one machine works d) exactly two machines work e) exactly three machines work f) at least one machine works

Two copper plates 0.50cm thick have a 0.10mm sheet of glass sandwiched between them. One copper plate is kept in contact with flowing ice water and the other is in contact with stream. What are the temperatures of the two copper-glass interfaces, and what is the power transferred through a 10cm by 10cm area? kcopper=385 K/mC and kglass=0.8 K/mC

The answers given are: 9C, 91 C, and 6.6E3 W. I am just trying to learn the process of solving problems like this and my closest answer was 7837 W, which is still off.

A manufacturer has developed a new fishing line, which the company claims has a mean breaking strength of 14.5 kilograms with a standard deviation of 0.8 kilograms. Believing the mean breaking strength is less than what company has claimed, a customer protection agency took a random sample of 40 such fishing lines and found that the mean breaking strength for this sample is 13.2 kilograms. Given the breaking strength of all such lines have a normal distribution, test whether the agency’s suspicion is valid or not at 1% significance level.

Please provide correct answer without using excel formulas.

1. Std. Err (standard error): The average deviation of sample means from the hypothesized population mean of 4.73 drinks is about 0.44 drinks.
2. T-stat (T-score): The observed sample mean of 3.93 drinks is 1.8 standard errors below the hypothesized population mean of 4.73 drinks.
3. P-value: If the population mean is 4.73 drinks, there is a 7.2% chance that sample means will have an error larger than that observed in our sample (observed error = 4.73 – 3.93 = 0.8 drinks) when selecting random samples of 75 students.

Can someone summarize these points

The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N(,)

b. Find the probability that this American man consumes between 9.5 and 10.1 grams of sodium per day.

c. The middle 10% of American men consume between what two weights of sodium?
Low:
High:

Suppose the proportion X of surface area in a randomly selected quadrat that is covered by a certain plant has a standard beta distribution with α = 5 and β = 3.

(a) Compute E(X) and V(X). (Round your answers to four decimal places.)

E(X) =

V(X) =

b) Compute P(X ≤ 0.6). (Round your answer to four decimal places.)

(c) Compute P(0.6 ≤ X ≤ 0.8). (Round your answer to four decimal places.)

(d) What is the expected proportion of the sampling region not covered by the plant? (Round your answer to four decimal places.)

a) A k-out-of-n system is one that will function if and only if at least k of the n individual components in the system function. If individual components function independently of one another, each with probability 0.8, what is the probability that a 4-out-of-6 system functions?

b) Obtain ?(?(?−2)) where ? ~???????(?)

c) Service calls arrive at a maintenance center according to a Poisson process, with average 3.1 calls per minute.

(i) Obtain the probability that no more than 4 calls arrive in a minute.

(ii) Obtain the probability that more than 7 calls arrive in a three-minute interval

The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N( , )

b. Find the probability that this American man consumes between 8.6 and 9.5 grams of sodium per day.

c. The middle 20% of American men consume between what two weights of sodium? Low: High:

The average American man consumes 9.8 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N(,)

b. Find the probability that this American man consumes between 10.6 and 11.1 grams of sodium per day.

c. The middle 20% of American men consume between what two weights of sodium?

Low:

High: