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Let X1, ..., Xn be i.i.d. from the uniform distribution on (θ- ½, θ+ ½), where θ ∈ R is unknown. Show that (X(1) + X(n))/2 is strongly consistent for θ and also consistent in mse.
Statistics and Probability, Statistics
Gala apples sampled at random from a specific orchard in New Zealand have a mean weight of μ= 147g with a variance of σ2= 841g^2, and the weights follow a normal distribution quite well. The grower wants to sell the appl ...
A researcher determines that students study an average of 60 15 (M SD) minutes per week. Assuming these data are normally distributed, what is the z score for students studying 45 minutes per week?
How do you solve the following problem: Consider the experiment of drawing two cards from a deck in which all picture cards have been removed and adding their values with ace = 1. What is the probability of obtaining a t ...
Jen and Barry get sued by "Ben & Jerry's" for trademark infringement. Jen and Barry lose, and they need a LOT of money. They decide to play Tennetucky's "Mega-6" lottery. They'll win the jackpot if they correctly choose ...
According to an? airline, flights on a certain route are on time 80% of the time. Suppose 13 flights are randomly selected and the number of?flights is recorded. ?a) Explain why this is a binomial experiment. ?b) Deter ...
Doctoral assistant ships of Ph.D students 50% have paid assistant ships. a random sample of n=200 students is chosen.. based on this sample and using the properties of the binomial distribution, what is the approximate s ...
Suppose a soft drink company want to perform a taste test on 5 brands of diet cola. How many permutations are there for presenting 5 diet colas to test subjects?
Your bank has $153 million in loan commitments which are now being drawn upon. You aren't sure, but you are beginning to think that the bank may have some problems now. What sort of risk are you connected about, and how ...
Suppose a machine has two components that prevent injury; component A and component B. If either of the components fail, an employee will be injured. It is important to note that both A and B cannot fail at the same tim ...
Bella is 23 years old and wants to invest money for her retirement. She wants to have $2,000,000 saved up when she retires at age 65. a) If she can earn 10% per year in an equity mutual fund, calculate the amount of mone ...
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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