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

1. Calculate the expected rate of return, r_B, for Stock B (r_A = 12.60%.) 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 = 18.36%.) Do not round intermediate calculations. Round your answer to two decimal places.
   %

3. Now calculate the coefficient of variation for Stock B. Round your answer to two decimal places.

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

   1. 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.
   2. 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.
   3. 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. 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. 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.

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

1. Calculate the expected rate of return, r_B, for Stock B (r_A = 12.10%.) 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 = 18.79%.) Do not round intermediate calculations. Round your answer to two decimal places.
   %

3. Now calculate the coefficient of variation for Stock B. Round your answer to two decimal places.

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

   1. 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.
   2. 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.
   3. 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.
   4. 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.
   5. 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.

P(CA) = probability of experiencing a cybersecurity attack

P(V) = probability of finding a vulnerability on your webservers

P(A) = probability of an attack on your webservers

Estimates for Company A

Each question is 5 points. You need to do the following questions in order.

2.a. What is the probability of an attack on the webservers in Company A?

P(A) = ?

2.b. What is the probability of Company A experiencing cybersecurity attack?

P(CA) = ?

2.c. What is the probability of an attack on the webservers, given the company experience a cybersecurity attack?

P(A|CA) = ?

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

1. Calculate the expected rate of return, , for Stock B ( = 10.60%.) 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 = 25.58%.) Do not round intermediate calculations. Round your answer to two decimal places.
     %

   Now calculate the coefficient of variation for Stock B. 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 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.
   2. 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.
   3. 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. 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. 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.
   
   
   -Select-IIIIIIIVVItem 4

3. Assume the risk-free rate is 2.5%. What are the Sharpe ratios for Stocks A and B? Do not round intermediate calculations. Round your answers to two 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 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.
   2. 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.
   3. 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.
   4. 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.
   5. 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.

The probability the adult used tobacco products is 0.300.

The probability the adult binge drank alcohol is 0.384.

The probability the adult drank any alcohol is 0.571.

The probability the adult used tobacco products and did not drink any alcohol is 0.174.

a) Given that the adult drank alcohol, what is the probability the adult binge drank alcohol?

b) What is the probability the adult used tobacco products and drank any alcohol?

c) What is the probability the adult did not use tobacco products and did not drink any alcohol?

Which probability rule would be used to determine the probability of getting into both your first choice graduate program AND getting an interview at your first choice post-graduation?

Solve for the probability of BOTH events occuring if the probability of getting into your first choice graduate program is estimated to be 25% and getting an interview at your first choice job post-graduation is estimated to be 50%.

If the robt = 0.20 and the df = 70 and the test was two-tailed, what is the rcv ?

Given the values provided in #17, should you reject or fail to reject the null hypothesis?

Significance level is 0.05

introduces the concept of probability and defines it. We frequently use probability in our daily lives to make decisions when we are not sure about the outcome. Read the following mind-boggling famous problem and decide.
“The Monty Hall problem" is a famous probability related conundrum faced by participants on the game show Let’s make a deal that premiered in 1963 and is still running some markets around the world. At the end of each day’s show, a contestant was invited to stand with host Monty Hall facing three big doors: Door no. 1, Door no.2, and Door no.3. Monty explained to the contestant that there was a highly desirable prize behind one of the doors and a goat behind the other two doors. The player chose the three doors and would get a prize whatever was behind it. The initial probability of winning was straight forward. There were three two goats and one car. As the participant stood facing the doors with Monty, he or she had a 1 in 3 chance of choosing the door that would be opened to reveal the car. However, Let’s make a deal that had a twist, which is why the show was immortalized in the probability literature. After the contestant chooses a door, Monty would open one of the two doors that the contestant had not picked, always revealing a goat. At that point, Monty would ask the contestant if he would like to change his pick-to switch from the closed door that he had picked originally to the other remaining closed door. For the sake of example, assume that the player has chosen Door no. 1. Monty would then open-Door no. 3; the live goat would be standing there on stage. Two doors would still be closed, nos. 1 and 2. If the valuable prize was behind no. 1, the contestant would win; if it was behind no. 2, he would lose. But then things got more interesting: Monty would turn to the player and ask whether he would like to change his mind and switch doors (from no. 1 to no. 2 in this case). Remember, both doors were still closed, and the only new information the contestant had received was that a goat showed up behind one of the doors that he didn’t pick.”

Address the following question in your post:
• Should the contestant switch the door? Make sure to discuss the reasons why he needs to switch or not switch.

: You are given the following probability distribution for CHC Enterprises:

What is the stock's expected return? Round your answer to 2 decimal places. Do not round intermediate calculations.
%

What is the stock's standard deviation? Round your answer to two decimal places. Do not round intermediate calculations.
%

What is the stock's coefficient of variation? Round your answer to two decimal places. Do not round intermediate calculations.

Please Help ASAP!

To use Excel INV functions, such as XXXX.INV(probability,....) to generate random variates, replace probability by:

Alice solves every puzzle with probability 0.6, and Bob, with probability 0.5. They are given 7 puzzles and each chooses 5 out of the 7 puzzles randomly and solves them independently. A puzzle is considered solved if at least one of them solves it. What is the probability that all the 7 puzzles happen to be solved by at least one of them?