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Q1. Consider the sets X = {4m + 1|m ∈ Z} and Y = {2n - 1|n ∈ Z}.
(a) Prove that X ⊆ Y.
(b) Is Y ⊆ X? If yes, prove it. If not, find an element of Y that's not an element of X.
Q2. Let X be a set, and P(X) its powerset. Define a function f : P(X) → P(X) by f(A) = X\A.
(a) Consider the case X = {1, 2, 3}. Evaluate f(A) for every A ∈ P(X).
(b) For X any set, prove that f is a bijection.
(a) What is the probability that the number of heads equals the number showing on the die?
A statistic practitioner working for Major League Baseball determined the probability that the hitter will be out on ground balls is .75. in a game where there are 20 ground balls, find the probability that all of them were out.
Translate the following statements into symbolic form using capital letters to represent affirmative English statements.- If health maintenance organizations cut costs, then either preventive medicine is emphasized or the quality of care deteriorat..
a tube of listerine tartar control toothpaste contains 4.2 ounces. as people use the toothpaste the amount remaining in
The Stop Shoppe currently sells blue jeans and T-shirts. Management is considering adding fleece tops to its inventory to provide a cooler weather option.
Estimate the mean number of cars per household for the population of households in the neighborhood. Give the 95% confidence interval.
What is the actual formula for finding the exact probability from the z-score without having to use the table?
Do you go to church? The Gallup Poll plans to ask a random sample of adults whether they attended a religious service in the last 7 days.
In any given month, the probability that a manufacturer will have an accident is 35%, What is the probability that in a 6 month period, the manufacturer will have two or fewer accident free months?
What are the most common causes of missing data, and what difficulties do missing data cause? What can be done if data are missing?
Use the Poisson Distribution the indicated probabilities in one year, there were 116 homicide deaths in Richmond VA. For a randomly selected day
Your Economics instructor assigns your class to investigate factors associated with the gross domestic product (GDP) of nations.
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