The radial probability density for the electron in the ground state of a hydrogen atom has a

peak at about:

A. 0.5pm

B. 5 pm

C. 50pm

D. 500pm

E. 5000pm

ans: C

Chapter

What is indicated by a big or large p-value?

A. a large probability that the null hypothesis is true

B. a weak correlation between two variables

C. a strong correlation between two variables

D. a large probability that the alternative hypothesis is true

4.

(a) Derive an integral expression for the probability of a gas molecule of mass m, at temperature T is moving faster than a certain speed v_min.

(b) A particle in the atmosphere near the earth’s surface traveling faster than 11 km/s has enough kinetic energy to escape from the earth’s gravitational pull. Therefore, molecules in the upper atmosphere will escape if they do not have collisions on the way out. The temperature of the upper atmosphere is about 1000K. Using the result for (a) and numerical computation to determine the probability that a N₂ molecule at this temperature will escape from the upper atmosphere? Repeat the calculation for a He atom. The escape velocity for the moon is about 2.4 km/s. Explain why the moon has no atmosphere

Q1. Two fair dice are rolled. What is the probability of…

a)         Rolling a sum of 4 or doubles?

b) Rolling a sum of 4 and doubles

c)         Rolling a sum of 2, 4 times in a row?

Q2. True or False. A discrete sample space is one in which outcomes are counted

1.) If only the party that knows if a security has a low probability of default or a
high probability of default is the issuer (borrower) of the security, then a likely outcome is
A. markets are more efficient.
B. no securities are ever sold.
C. investors only purchase the least-risky securities at high prices.
D. investors are willing to pay low prices for securities and only risky securities are sold.

2.) Once borrowers have taken out a loan, they may act in their own self interest
instead acting in the interest of the lender. An example is a mortgage borrower “walking”,
altering the property or using it for something other than the agreed upon use. This is an
example of
A. adverse selection problem.
B. lemon problem.
C. free-rider problem.
D. moral hazard problem.

3. (3 points) The majority of revenue generated by banks comes from
A. lending funds to the government.
B. charging fees to households that deposit with the bank for banking services.
C. returns on equity securities
D. making loans to households and firms.

4. (3 points) Small banks
A. act more competitively than large banks.
B. usually charge more on loans relative to what is paid to depositors compared to large
banks.
C. are generally more efficient than large banks.
D. are growing in number

5. Which of the following best describes the current banking system in the United
States?
A. The market is dominated by 10 large banks and there are very few small banks operating
any more.
B. There are more than 10,000 small banks and the market share held by the 10 largest banks
totals less than 10%
C. There are a few large banks with significant market share and there are thousands of small
banks, but the number has been declining.
D. There are a few large banks with significant market share and the number of small banks
has been growing.
6. One of the downsides of FDIC insurance is that it
A. provides bankers with incentives to take on more risk with depositors funds.
B. discourages households from depositing funds with risky banks.
C. is costly to taxpayers.
D. makes contagion problems associated with

7. Which of the following would normally lead to an INCREASE in both the
M1 and M2 money multipliers.
A. Households hold a higher fraction of deposits in currency
B. The reserve requirement is decreased
C. Banks increase holdings of excess reserves relative to deposits
D. The reserve requirement is increased

8.)
During the financial crisis of 2007-2009,
A. yields on all types of securities fell.
B. yields on all types of securities rose.
C. yields on Treasury securities fell while yields on corporate securities rose.
D. yields on Treasury rose while yields on corporate securities fell.

9.) SELECT ALL the true statements about the Federal Funds rate (FFR).
A. The FFR is a market determined interest rate.
B. The FFR is explicitly set be the Federal Reserve.
C. The FFR the interest rates that banks pay/receive when they borrow/lend from/to each
other overnight.
D. The FFR cannot be influenced by open market operations.
E. The FFR is the interest rate that banks pay for loans from the Federal Reserve.

10.) An open market sale of securities by the Federal Reserve
A. increases the monetary base.
B. decreases the monetary base.
C. increases the money multiplier.
D. decreases the money multiplier.

What is the probability that a randomly chosen positive integer not exceeding 1000, is a power of another integer. For example, 64=82 or 27=33 are powers but 55 or 24 are not powers.

1.

a)If you were to toss a coin twice. What is the probability that it would come up Heads once and Tails once. Express you answer in decimals to one place.

b)The sum of the probability of all outcomes equals?  Express your answer as a percentage to one decimal place.

Calculate the probability of finding an electron in a 1s orbital outside of the first Bohr orbit (a0).

Find the probabilities for the following poker hands. They are arranged in decreasing order of probability.

(e) Straight. (Five cards in a sequence. Does not include a straight flush. Ace can be high or low.)

(f) Three of a kind. (Three cards of one face value. Does not include four of a kind or full house.)

(g) Two pair. (Does not include four of a kind or full house.)

(h) One pair. (Does not include any of the aforementioned conditions.)

Stocks A and B have the following probability distributions of expected future returns:

1. Calculate the expected rate of return,  , for Stock B ( = 14.80%.) Do not round intermediate calculations. Round your answer to two decimal places.

     %

2. Calculate the standard deviation of expected returns, σ_A, for Stock A (σ_B = 18.27%.) Do not round intermediate calculations. Round your answer to two decimal places.

     %

   Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places.

   Is it possible that most investors might regard Stock B as being less risky than Stock A?

   1. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.
   2. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense.
   3. If Stock B is more highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be less risky in a portfolio sense.
   4. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.
   5. If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense.

   -Select-I II III IV V

3. Assume the risk-free rate is 1.5%. What are the Sharpe ratios for Stocks A and B? Do not round intermediate calculations. Round your answers to four decimal places.

   Stock A:

   Stock B:

   Are these calculations consistent with the information obtained from the coefficient of variation calculations in Part b?

   1. In a stand-alone risk sense A is less risky than B. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.
   2. In a stand-alone risk sense A is less risky than B. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense.
   3. In a stand-alone risk sense A is more risky than B. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.
   4. In a stand-alone risk sense A is more risky than B. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense.
   5. In a stand-alone risk sense A is less risky than B. If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense.

   -Select-I II III IV V