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Let F be a forest of order 'n' containing 'k' connected components. Prove that F contains n-k edges.
Statistics and Probability, Statistics
What is the sample size for studies with MOE of +/-3.5% and +/-2.8%, with a confidence level of 95%, sample statistics of 50. Suppose the category population was 7500 (less than 10,000)? Remember the FPC. What would be t ...
You are promised $80 a year for the next 4 years. You are also promised a one-time payment of $2000 in 6 years. The interest rate is 6%. What is the total PV?
The times that customers spend in a book store are normally distributed with a mean of 39.5 minutes and a standard deviation of 15.9 minutes. A random sample of 25 customers has a mean of 36.1 minutes or less. Would this ...
Hardboard is graded with the following frequencies: Grade A: 1/5 Grade B: 3/4 Cull: 1/20 If six pieces come off of a hot press, find the probability that two are Grade A, three are Grade B, and one is a Cull.
Cash flows It is typical for Jane to plan, monitor, and assess her financial position using cash flows over a given period, typically a month. Jane has a savings account, and her bank loans money at 6% per year while it ...
The following frequency table summarizes the distances in miles of 100 patients from a regional hospital. Distance Frequency 0-2 30 2-4 35 4-6 20 6-8 ...
Average sales for an online textbook distributor were $74.67 per customer per purchase. Assume the sales are normally distributed. If the standard deviation of the amount spent on a textbooks is $9.49, find these probabi ...
Let X be the random variable that represents the life in hours of a certain electronic device. The probability density function of X X is f(x)=360x 3 f(x)=360x3 , 10≤x≤15 10≤x≤15. Find the expected life of this device.
1. Choose all probability distributions which are theoretically related to normal probability distribution 2. The 68-95-99.7 rule states that in a normal distribution 3. For a normal distribution the a mean of 179 and st ...
1) If there are 150 values in a data set, how many classes should be created for a frequency histogram? A. 5 B. 6 C. 7 D. 8 E. 9 2) . If x is a binomial random variable where n = 100 and p = 0.2, find the probability th ...
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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