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You want your portfolio beta to be 0.95. Currently, your portfolio consists of $4,000 invested in stock A with a beta of 1.47 and $3,000 in stock B with a beta of 0.54. You have another $9,000 to invest and want to divide it between an asset with a beta of 1.74 and a risk-free asset. How much should you invest in the risk-free asset?
The random variables, X and Y, have a probability density function given by: By transformation of variables, find the probability density function of Z=X+Y.
A large population of overdue bills has balances that follow a normal curve. When we take a sample of 100 of these the average is $500 and the SD is $100.
State the hypotheses for a chi-squared test in the context of this problem. Calculate the expected matrix and describe what it represents. Calculate the test statistic. Describe what this represents and answer the question posed.
The average hourly wage of employees of a certain company is $9.83. Assume the variable is normally distributed.
The main purpose of this exercise is to check your understanding of significance level, p-values and power .
For a normal population with u. = 80 and a = 20 which of the following samples is least likely to be obtained?
Assuming that n = 6 for both samples, calculate each of the sample variances, then calculate the pooled variance. Because the samples are the same size, you should find that the pooled variance is exactly halfway between the two sample variances.
The following data provided by a coffee company are the roast time in minutes for five batches of coffee (x) and the resulting shrinkage in percent of the coffee weight(y).
The national average SAT score (for Verbal and Math) is 1028. If we assume a normal distribution with σ = 92, what is the 90th percentile score? What is the probability that a randomly selected score exceeds 1200?
Suppose a random sample of 50 architects and engineers is selected. How likely is it that the random sample contain five or fewer women in these positions.
A study of vehicle flow characteristics on acceleration lanes found that one out of every six vehicles uses less than 1/3 of the acceleration lane before merging into the traffic.
Is global F ratio significant? Identify this F ratio, and describe whether it is important.Is coefficient for X1 (productivity) significant? How do you know? Mention its t value and accompanying P-value.
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