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Exercise 4 (Investment portfolio) George Johnson would like to set up a trust fund for his two children. The trust fund has two investment options: 1. a bond fund and 2. a stock fund. The projected returns over the life of the investments are 6% for the bond fund and 10% for the stock fund. To reduce the risk resulted from market volatility, he wants to invest at least 30% of the entire amount of trust fund in the bond fund. In addition, he wants to select a portfolio that will enable him to obtain a total return of at least 7.5%. A. Formulate a linear program that can be used to determine the percentage allocation to the bond fund and stock fund. The objective of the problem is to maximize the expected total portfolio return. B. Solve the problem using the graphical solution procedure. Find out the optimal percentage allocations and the optimal total portfolio return.
Would you be able to assist me in completing a 5 step hypothesis test on both hypotheses (1 parameter & another with 2 or more)? In completing this test, I need to explain how to complete it.
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 925 hours. A random sample of 39 light bulbs has a mean life of 905 hours with a standard deviation o 55 hours.
Consider a charity organizations that receives random donations. Assume the donations to arrive following a Poisson process with a rate of one donation per hour in average. What is the probability that it will not be able to make the payment?
How large a sample would be necessary to estimate the population proportion with a margin of error of 0.05 at 95% confidence?
Does the evidence suggest that postpartum women do not get enough sleep? Use =0.05 level of significance. How is the problem set up using the classical and P-value approach.
The probability of contracting the kissing disease is .23 when one is exposed to a certain provocative environment. Sixty people are so exposed. What is the probability that no more than 10 are infected with this dreaded disease.
Determine the shortest time spent waiting for a heart that world still place a patient in the top 10% of waiting times? In days?"
Certain stocks are recommended each month by a monthly magazine. If 40% of the stocks recommended advance at least 20%, what is the probability that of the five stocks most recently recommended
Using the following number of flirtations actions in the 4 hour period, test the "null hypothesis'
A savings account was opened for a baby on 1985 with a $100 deposit. No withdrawals or deposits occurred since the account was opened. The current balance of the account is $246.47. Measured in dollars of the year in which the account was opened, how..
There is no significant difference in the mean household incomes between the two neighborhoods +0.05
A manager of a large department store with three floors reports that the time a customer on the second floor must wait for an elevator has a uniform distribution ranging from 0 to 16 minutes. It takes the elevator 1 minute to go from floor to floo..
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