
4. (4 POINTS) Compute the expected value and the standard deviation of the number of spades...
Question 12 (5 points) 12. Compute the standard deviation of the expected return given these three economic states, their likelihoods, and the potential returns: Economic status Probability Return Fast growth 0.1 50% Slow growth 0.6 8% Recession -10 % 0.3 (just type the number of standard deviation (SD) without % and round up to second decimal places. For example, if your answer is 13.6789, enter 13.68) 6.2 AV Question 13 (5 points) panes 13. A company has a beta of...
1. (3 POINTS) An insurance policy pays a individual $500 per day for up to 3 days of hospitalization and $100 per day for each day of hospitalization thereafter. The number of days of hospitalization is a random variable X with P(X=x) = (6-x)/15, if x = 1,2,3,4,5. Calculate the expected payment for hospitalization under this policy. 2. (4 POINTS) An insurance policy reimburses a loss up to a benefit limit 0f $10. There is no deductible. The policyholder’s...
Problem 3 (10 points). What are the expected value and variance of the number of full house hands in 100 poker hands? A poker hand consists of five randomly selected cards from an ordinary deck of 52 cards. It is a full house if three cards are of one denomination and two cards are of another denomination: for example, three queens and two 4's Problem 4 (10 points). Let X be a binomial random variable with parameters n 15 and...
Compute the expected return, standard deviation, beta, and nonsystematic standard deviation of the portfolio. 4. Assume that the total market value of an initial portfolio is $300,000. Suppose that the owner of this portfolio wishes to decrease risk by reducing the allocation to the risky portfolio from y = 0.7 to y = 0.56. How do you reallocate your risky portfolio? 5. Which of the following factors reflect pure market risk for a given corporation? a. Increased short-term interest rates....
1. From a standard deck of 52 cards, how many 5-card poker hands are there, that have at least 3 spades? (Hint: divide the problem in cases: a poker hand has 3 spades, 4 spades, 5 spades.)
What are the expected value, variance and standard deviation of the following probability distribution? Number of Offices Proportion of Students p(X) 0 0.08 1 0.288 2 0.367 3 0.122 4 0.081 5 0.054 6 0.008 E(x) Var(x)
b.Using the fact that
PX=12n, compute the expected value
E(X) and standard deviation (σ) of the
number of pages for the population of 2n books.
QUESTION 1 (39 MARKS) Suppose you choose 2 books that you are planning to read (the books selected must contain both Malay and English). Thus, there will be a total of 2n number of books, where n is the number of team members. Assume that this 2n is the size of population that is approximately...
Standard Deviation The standard deviation is a number that measures how far a typical observation is from the mean. Run Applet For this discussion activity, you will use an applet that deals with the standard deviation of a numerical data set. Navigate to the Standard Deviation (Links to an external site.)Links to an external site. applet and follow these instructions: Prepare the applet for use. Select the “Add point” button and enter a value of 0 in the input box,...
Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two decimal places.) Forty-one darts are thrown at a dartboard. The probability of hitting a bull's-eye is .2. Let X be the number of bull's-eyes hit. expected value variance standard deviation
Compute the mean and standard deviation for the following sample of n = 4 scores: 82, 88, 82, 86 (Hint: To simplify the arithmetic, you can subtract 80 points from each score to obtain a new sample consisting of 2, 8, 2, and 6.) Compute the mean and standard deviation for the new sample. Mean: Standard deviation: What are the values of the mean and standard deviation for the original sample? Mean: Standard deviation: