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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.
A business researcher uses two-way ANOVA in a report for a client. The researcher does not check the assumptions of using the technique.
The probability that a randomly selected elementary or secondary school teacher from a city is female is 0.68, holds a second job is 0.38, and is female and holds a second job is 0.29.
Explain the difference between a discrete and a continuous random variable. Give two examples of each type of random variable.
Use the information given to calculate the standard error of the mean. Mean systolic blood pressure for a sample of n=324 men is =123.5, and the standard deviation is s=9.
If you have a statistical package that computes binomial probabilities, find the probability that at least five funds outperform the market in all 10 years.
Illustrate by computation that, for straight -line regression of Y on x, β1= 0.
A coin is flipped 5 times in a row. What is the probability that it will come up heads all 5 times? For the data in question above, calculate the Sum of Squares Error (SSE).
I never understood the concept of the Empirical Rule and Chebyshev's Rule. Can you explain it to me and provide me with some sample problems please?
Show some work for each part. A diagram can be helpful. A survey of adults found the following: 65 percent of the adults drink coffee. 35 percent drink tea. 80 percent drink coffee or tea (or both). If we choose a surveyed adult at random, find t..
A jeweler at Tiffany & Company computes the value of the linear correlation coefficient for pairs of sample data consisting of Tiffany prices for gold wedding rings and the corresponding prices at a discount store.
This table gives three measurements of 10 samples made in a production run. Use statistical process control method to solve problem.
A human society claims that less than 31% of U.S. households own a dog. In a random sample of 392 U.S. households, 155 say they own a dog. At a=0.03, is there enough evidence to support the society's claim?
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