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Show that if in the Law of Large Numbers we omit the assumption that all the X have the same mean and replace the m in the conclusion by [E(X1)+...+E(Xn)]/n, the law remains valid.
Statistics and Probability, Statistics
In general, a binomial distribution can be approximated well using a normal distribution only if
The December CBOT Treasury bond futures contract is quoted at 92-19. If annual interest rates go up by 1.50 percentage points, what is the gain or loss on the futures contract? (Assume a $1,000 par value, and round to th ...
Estimate the proportion of people in various states that will use the courior services. Suppose the true proportion is 0.03. If 476 are sampled, what is the probability that the sample proportion will be less than 0.04?
Suppose you want to calculate the? z-score for your height. How will the? z-scores compare if you use your height in inches verses? centimeters?
You are considering investing in a mutual fund. The fund is expected to earn a return of 15 percent in the next year. If its annual return is normally distributed with a standard deviation of 6.10 percent, what return ca ...
Ecolap Inc. (ECL) recently paid a $0.46 dividend. The dividend is expected to grow at a 12.50 percent rate. The current stock price is $49.72. What is the return shareholders are expecting?
After 5 years at her company, Katy just got promoted and decided to buy a new house worth $230,000. She can pay 10% up front for the down payment, then apply for a 30-year mortgage, 6.6% annual rate for the remaining bal ...
It has been a bad day for the stock market and you have heard that only 30% of all stocks gained value. Suppose you have a portfolio of 10 securities and assume a binomial distribution for the number of your stocks that ...
A national report indicates that the mean and standard deviation of the ACT scores of incoming freshman at American public universities are 24.6 and 6.2, respectively. A sample of 30 incoming freshmen at a small, suburba ...
Perform a conversion to compare costs between the two programs below, to find out which is the more expensive program. Program A: estimated cost in constant FY13 dollars: $16M Program B: estimated cost in constant FY19 d ...
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Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate
Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p
Compute the present value of an annuity of $ 880 per year for 16 years, given a discount rate of 6 percent per annum. As
Compute the present value of an $1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int
Compute the present value of an annuity of $ 699 per year for 19 years, given a discount rate of 6 percent per annum. As