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The comptroller of macrosoft corporation has 100$ million of excess funds to invest. She has been instructed to invest whole amount for one year in either stocks or bonds and then to reinvest complete fund in either stocks or bonds for one year more. Objective is to maximize expected monetary value of fund at end of second year.
Annual rates of return on these investments depend on economic environment, as given in the following table:
Rate of returnEconomic environment Stocks BondsGrowth 20% 5Recession -10 10Depression -50 20
Probabilities of growth, recession and depression for first year are 0.7, 0.3 and 0, respectively. If growth happens in first year these probabilities remain same for second year. Though, if the recession happens in first year, these probabilities change to 0.2,0.7 and 0.1, respectively, for second year.
a) Create by hand decision tree for this problem and then examine decision tree to recognize optimal policy.b) Use TreePlan to create and solve decision tree.
It is believed that students who begin studying for final exams a week before the test score differently than students who wait until the night before. Suppose you want to test specifically that students who study earlier have an average score tha..
A behavioral research situation that could use a Pearson coefficient research study and a chi square research study. Present the rationale for each selection. Be very specific in your presentation.
Creek Ratz is a very popular restaurant located along the coast of northern Florida. They serve a variety of steak and seafood dinners. During the summer beach season, they do not take reservations or accept a call seating.
A manufacturer of printed circuit boards uses exponential smoothing with trend to forecast monthly demand of its product. At the end of December, the company wishes to forecast sales for January.
If the sum of squares regression is 1,000 and the sum of squares total is 5,000. Given that the sum of squares residual (or error) is 4,000 what is the r-squared value?
In a class, the grade of a student on an exam is an RV with expectation 60 and variance 16. If the class average is between 55 and 65, with a probability greater than or equal to 0.9, determine the number of students that have taken the exam.
Construct a 99% confidence interval estimate for the population mean amount of paint included in a 1-gallon can.
At α =0.05, can it be concluded that families who live in cities have higher income than those who live in rural areas? Utilize P-value method.
Soft Drinks a vending machine automatically pours soft drinks into cups. As the amount of soft drink dispensed into a cup is normally distributed
The sums of squares were computed as SSW = 4773.3 and SSA = 591.2. Use the F test of ANOVA (assume α = 0.05) to decide whether or not there are any differences in true average lumen outputs between the three brands for this type of light bulb.
In terms of p , the researcher should test which of the following null and alternative hypotheses?
A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50.
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