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1. Explain the meaning of the variance of a random variable. What are possible uses of the variance?
2. Why is the standard deviation of a random variable more meaningful than its variance for interpretation purposes?
Statistics and Probability, Statistics
An appliance dealer calculated the proportion of new dishwashers sold that required various numbers of service calls to correct problems during the warranty period. The records were: No. of service calls Relative frequ ...
In families with four children, you're interested in the probabilities for the different possible numbers of girls in a family. Using theoretical probability (assume girls and boys are equally likely), compile a five-col ...
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?
In developing their warranty policy, a washing machine company estimates that over a 1-year period 15% of their new washing machine will need to be repaired. You and your neighbor both purchase a new washing machine. 1) ...
A company that manufactures gasoline station pumps must ensure that it pumps at least 1 gallon of gasoline 84% of the time. If the population of pump amounts for a particular pump is normally distributed with mean μ and ...
Dr. Garcia has a dream to complete a Ironman triathlon. The race consists of a 2.4 mile swim, a 112 mile bike ride, and a marathon run of 26.2 miles. In training, Dr. Garcia estimates that he can swim at an average pace ...
Determine the internal rate of return for a project that costs -$149,500 and would yield after-tax cash flows of $23,000 the first year, $25,000 the second year, $28,000 the third year, $30,000 the fourth year, $34,000 t ...
Bond A is a 1-year zero-coupon bond. Bond B is a 2-year zero-coupon bond. Bond C is a 2-year 10% coupon bond that pays annually. The yield to maturity (annually compounded) on bond A is 10%, and the price of bond B is $8 ...
Felcor stock is currently selling for $40.00 a share but is expected to either decrease to $36 or increase to $44 a share over the next year. The risk-free rate is 4 percent. What is the current value of a 1-year call op ...
Suppose we can only sample from Uniform distribution (0,1) with k=3. Design an algorithm to simulate chi-square distribution with 2k freedom via general transformation method.
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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