San Jose Mercury News, March 31, 2020: “As classes go online, students want Stanford to lower tuition”: “Thousands of Stanford students are asking for a discount in tuition for this quarter --- up to 80% --- as, (as one student leader stated): “the online education will affect our EDUCATIONAL EXPERIENCE – (the caps are mine) – interacting with faculty and peers … (is)… a more ESSENTIAL PART of our time spent at Stanford” …. Online education “makes us UNABLE TO ENJOY AN EDUCATIONAL EXPERIENCE QUALIFIED FOR THE $10,000 (tuition only) that we spent for this Spring quarter”…. “if the experience is not IMMERSIVE, then IT IS NOT FULL AND DOES NOT DESERVE THE PRICE TAG”……. QUESTIONS!

A. Should students be given a discount on tuition this quarter (or semester) owing to classes going online? (you did not SIGN UP for this, right???) Why or why not? At Stanford? At EVC? Is there a difference?

B. Is your answer any different for GRADUATE students in law and medicine? Why or why not? C. Stanford has offered to let students take a quarter off, thus delaying… THE REST OF THEIR LIVES…..in your opinion, why may this solution be… ‘less than optimal’? D. Is it relevant that Stanford is sitting on MANY TENS OF BILLIONS OF DOLLARS IN ENDOWMENTS, --- one of the highest in the nation -- and could EASILY AFFORD to give their students a discount of 80% for one quarter?

E. WHAT SHOULD STANFORD DO? Offer an 80% discount? 100%? 50 %? 30%? No discount at all? Should it vary depending on the INCOME of the student and her family---- (just like the tuition itself, and room and board expenses)?

F. May we agree that students who were living in the dorms should be reimbursed for their HOUSING costs, given that they were KICKED OUT (evicted)? What about students who had been renting apartments from landlords in and around Palo Alto? Should they be treated differently? Why or why not? (Many landlords will suffer a huge drop in income in 2020) G. WHAT HAS BEEN YOUR MOST CHALLENGING OBSTACLE, IN TERMS OF TAKING AND COMPLETING YOUR CLASSES ONLINE, SINCE MARCH 10, 2020? IN YOUR OPINION, HOW HAS THE QUALITY OF YOUR EDUCATION CHANGED?

H. IS THIS ISSUE IN YOUR ‘TOP TEN’ LIST OF PROBLEMS RIGHT NOW, IN YOUR OPINION? Top 5? Top 3? WHY OR WHY NOT?

How many people do you expected to arrive during a 45min period?Suppose that trees are distributed in a forest according to a two-dimensional Poisson process with parameter λ, the expected number of trees per acree, equal to 80.

1. What is the probability that in a certain quarter-acre-plot, there will be at most 16 trees?
2. If the forest covers 85,000 acres, what is the expected number of trees in the forest?
3. Suppose you selected a point in the forest and construct a circle of radius 0.1 mile. Let X = the number of trees within that circular region. What is the pmf of X? (Hint: 1 sq. mile = 640 acres.)

1. Suppose you have 2 nickels, 3 dimes, and 1 quarter in a coin purse. You choose two coins from the purse at random. What is the probability you draw out at least 20 cents?

2. A three of a kind in a five-card poker hand is obtained by having exactly three of the same type of card (3 Js or 3 4s). What is the probability that a randomly selected five-card hand is a three of a kind?

3. A committee of 3 is to be selected from 4 Democrats and 7 Republicans. What is the probability that the committee has exactly 2 Democrats given that it has at most one Republican?

1. There are two types of ladders on the market that can be used for painting: Safe ladders which cost $6 and Risky ladders which cost $4. The probability of falling (accidently) off the Safe ladder is 0.10 and the probability of falling off the risky ladder is 0.40. If the painter does not fall then the income (I) from painting is $20, if the painter falls then income is $12. Lower income might be because the painter can’t work the next day because of injury. The painter’s utility function is√?.

• Which ladder will be purchased when the painter has no insurance against an accident?
• Now assume that the painter can buy insurance for $2 which provides the painter with an income of $20 no matter what happens. Which ladder will be purchased?
• Assume that the insurance company can identify Risky ladders and Safe ladders. If the insurance company sets a price of $2 for Safe ladders, what price would it have to charge on Risky ladders to get painters to buy Safe ladders?

SF 1: Quadratic Resistive Forces

In lecture, we derived the velocity of a falling object subject to resistive force linear in velocity (n = 1). In a fluid, a better phenomenological (experimentally motivated) model of drag is a force quadratic in velocity. That is, consider a resistive force of the form

R = −bv2, (1)

where b is a constant that depends on specific properties of the object and fluid.
a) What are the dimensions b?
b) Explain the physical meaning of b in terms of properties of the object and of the fluid.c) Write down the force equation for an object of mass m falling vertically in a fluid while subject to the quadratic resistive force.
d) Compute the terminal velocity vT in terms of m, g and b.

I HAVE LOOKED AT THE FEW OTHER ANSWERS TO THIS QUESTION AND FOUND NONE TO BE SATISFACTORY. PLEASE FORMULATE YOUR OWN ANSWERS. Show sufficient steps to solution and clear answers. I won't forget to like.

16. Using the rule of 68-95-99.7, we know that 99.7% of data will fall between how many standard deviations of the mean?  _____________

17. When we look at the direction of correlation coefficients, we look at the relationship between two variables.  If you are measuring the relationship of caffeine intake and difficulty falling asleep, and discovered that as caffeine intake increased, difficulty falling asleep also increased, this would be a _________________ relationship.

18. The strength of the relationship between two variables, whether positive or negative, is also known at the _____________________________.

19. True/False (circle or bold your answer): A confidence interval of 30% means that a researcher has a high probability of being correct regarding inferences drawn based on research data based on estimates established around the means.

20. True or False (circle or bold your answer): If a research study reports a finding that is statistically significant, this means that the critical values for this finding fall within the center of the data distribution.

A single loop of wire with an area of 0.0900m2 is in a uniform magnetic field that has an
initial value of 3.8 T, is perpendicular to the plane of the loop, and is decreasing at a
constant rate of 0.190 T/s. 

(a) What emf is induced in this loop? 

(b) If the loop has a resistance of 0.600O, find the current induced in the loop.

3. Sandlewood Inc. has a project which has a beta of 1.24. As a market analyst, you find the risk-free rate is 3.8% and the market rate of return is 9.2%. Which one of the below is the project's expected rate of return?

a. 15.21% b. 11.41% c. 10.50% d. 14.61%

a random sample of n=35 is selected from a population with a mean of 69.3 and a standard deviation of 3.8, and the sample mean is calculated.

describe the distribution of the sample mean (type and its 2 parameters)

find that the probability of sample mean is between 66 and 72

find that P of sample mean is >67

ABCDEF Corp. currently pays $3.80 in dividend as of this year. ABCDEF’s dividends will grow by 4.1% each year for next 15 years, and then grow by 3.8% each year afterward. What’ the present value of the firm’ tock given this information assuming that the required rate of return for the firm’ industry is 10.1%?