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Question 1: When is it important to have matched pairs rather than two independent sets of data?
Question 2: Give an example of when you would just want to have a correlation between two sets of data.
Statistics and Probability, Statistics
Let X be a random variable with range RX = {-1, 0, 1} and let P(X = 1) = P(X = -1) = p/2 for some p ∈ [0, 1]. a) Compute P(X = 0). b) Compute the expectation E[X] and variance Var(X) of X as a function of p, and determin ...
Arvo Corporation is trying to choose between three alternative investments. The three securities that the company is considering are as follows: Tax-free municipal bonds with a return of 8.8%. Wooli Corporation bonds wit ...
A puck company wants to sponsor the players with the 20% quickest goals in hockey games. The times of first goals are normally distributed with a mean of 8.54 minutes and a standard deviation of 4.91 minutes. How fast wo ...
State whether each of the following will increase, decrease, or have no effect on the population variance. (a) the sum of squares ( SS ) increases This change will increase the population variance. This change will decre ...
Rand Corporation has a 0.0 probability of a return of 0.6, a 0.3 probability of a rate of return of 0.05, and the remaining probability of a 0.92 rate of return. What is the expected rate of return of Rand Corporation?
The lifetime of a particular type of light bulb are approximately normally distributed with a mean of 1200 hours and a standard deviation of 140 hours. a) Find the probability that a randomly chosen bulb will burn longer ...
Last year a technology company bought one million in shares of a GM stock at €40 per share and sold it one year later at €50. The spot exchange rate one year ago was $1.40 = €1 and the spot rate prevailing at the end of ...
A factory makes parts for laptop computers, including screws. The screws are required to have the right length. The lengths of the screws obey a normal distribution with mean μ=4.25 millimeters and standard deviation σ=0 ...
A new computer system will require an initial outlay of $15,500, but it will increase the firm's cash flows by $3,100 a year for each of the next 7 years. How high can the discount rate be before you would reject the pro ...
How does a histogram help us know the probability of getting a certain value for a variable? In other words how does the histogram relate to probability?
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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
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