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Gaussian with mean 1 and variance 2 if y is red and uniformly distributed between 1 and 1 if y is blue. Find the individual and joint pdf of {x, y}. Find also Ex and E (x l y).
A statistics profressor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 60.0 minutes. Find the probability that a given class period runs great
A discete random variable has a mean of 400 and variance of 64. What is the standard deviation?
3 percentage points at a confidence level of about 95 percent, what's the smallest random sample we can get away with, regardless of the size of the target population?
When she is wrong, she offers a double-your-money back guarantee. Since the chance of having a female is approximately 50%, how can she earn any money?
they wanted to have the screening test for cervical cancer while in the control group, 120 indicated they wanted the screening test. Construct a 95 percent confidence interval for the difference in
What percentage of these businesses have quarterly sales tax receipts with ±1, ±2, or ±3 standard deviations of the mean?
Provide the null and alternative (research) hypothesis for comparing net usage rate (proportion) in rural and urban households.
Suppose we run an OLS regression of y on X1 and X2 to derive the OLS estimator of b = (b1,b2). Derive the expectations of b1and b2. Are they unbiased estimators for B1 and B2? Explain why
Construct a 90% confidence interval for this situation. Use this interval to determine whether the true mean MOR has changed. Discuss the relationship of the 90% confidence interval and the correspo
What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean?
A tube of toothpaste contains 4.2 ounces. as peopel use the tube the amount remaining is random. assume the amount of toothpaste remaining follows a uniform distribution.
One of the 5 vice presidents has not been invited to attend any of the last 6 Lakers home games. What is the likelihood this could be due to chance?
Each team must design a seaworthy canoe from a substance not known for its capacity to float. The canoes must weigh between 104 and 352 pounds. Find the midrange.
Consider the experiment of selecting a playing card from a deck of 52 playing cards. Each card corresponds to a sample point with a 1/52 probability. List the sample points in the event an ace is se
Find a 95% confidence interval for the mean value of Y given X = 24. Give an interpretation of the confidence interval in the context of the problem.
Test whether the average content is less than 1.50 litres, what is the minimum value of the sample mean needed to reject the null hypothesis at a 10% level of significance?
Use of stairs during times that signs were posted compared to times when there were nosigns. What scale of measurement is used for the independent variable.
Estimate the fixed cost involved in the production process. Find a point estimate and a 95% confidence interval estimate.
Let X and Y denote respectively the number of white and black balls selected. Compute the conditional probability mass function of X given that Y = 3. Also compute E[X|Y = 1].
What are the medians for the two data sets? Is there a difference or similarity between the mean and the median? Explain the similarity or difference.
How many subjects should be enrolled to ensure 80% power to detect a difference of 15 liters per minute with a two-sided test and a = 0.05?
Draw by hand a decision tree. Make sure to label all decision and chance nodes and include appropriate costs, payoffs and probabilities.
If the cost of B could be reduced to $42 per unit, how many units of B would be optimal? What would the minimum cost be?
The following data were collected on the height (inches) and weight (pounds) of women swimmers where height is the independent variable and weight is the dependent variable.