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A constant value C can be modeled as a pdf with only one non-zero entry. Recall that the pdf can only contain non-negative values and that the area under a continuous pdf (or equivalently the sum of a discrete pdf) must be 1.
1) Plot the pdf of a discrete random variable X that is a constant of value C.
2) Plot the pdf of a continuous random variable Y that is a constant of value C.
3) Using convolution, determine the pdf of a continuous random variable Z where Z = X + Y. Here, X has a uniform distribution on [0, 3] and Y is a constant of value 2. Assume that X and Y are independent.
We would like to test if the proportion of respondents that support the health care bill is less than 50% (a) what kind of hypothesis test is appropriate?
If sample of size 10 packages is randomly chosen, and 5 percent rate holds, determine the probability that exactly 2 packages in the sample arrive late?
In the solution to this problem, what is n? p? q? Does it appear that both np and nq are larger than 5? Why is this an important consideration?
What variables will be included, and collection methods used to obtain data. What is the population, sampling method used and why it is the best. Plan for data: describe what you will do with data once you have it, include types of graphs used and..
A random sample of 20 single men was asked if they would welcome a woman taking the initiative in asking for a date. What is the probability that:
Appalachian Coal mining believes it can enhance labor productivity and therefore net revenue by reducing air pollution in its mines. It estimates that the marginal cost function for reducing pollution by installing additional capital equipment is.
The state's smallest animal is a red-tailed gerbil, with a mean weight of 2.5 grams and a standard deviation of 0.25 grams. Assuming that the weights are normally distributed
Testing for population mean - How would this information be useful to you if you were the college register?
The mean weight of loads of coal placed in train cars by a loading machine is 43.0 tons with a standard deviation of 8.0 tons. Assuming that the weight of loads placed in the train cars by this loader are normally distributed
Determine the number of successes suggested by the given statement.
A company uses triple time estimates to determine expected completion time for all of their projects. If they determined the expected time to complete a project is 25 weeks with a variance of of 9 weeks
A sample of 144 cans of coffee showed an average weight of 16 ounces. The standard deviation of the population is known to be 1.4 ounces.
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