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1. Show that if A and B are closed sets, then A ∪ B is a closed set.
2. Let B ⊂ A be a closed subset of a compact set A. Show that B is compact.
3. Is a compact subset of a compact set necessarily closed?
Statistics and Probability, Statistics
Let's do some R.... Suppose you have the following situation: You have a large jar of beans, 43% black, 57% white. You take a sample of 14 beans. a) Use R to figure out the probability for every single possible outcome. ...
Suppose that 20% of men (P=.20) and 15% of women (P= .15) are carriers of a particular genetic trait. That trait can only be inherited by a child if both parents are carriers. What is the probability that a child is born ...
Are there more children diagnosed with Autism Spectrum Disorder (ASD) in states that have larger urban areas over states that are mostly rural? In the state of Pennsylvania, a fairly urban state, there are 245 eight year ...
Suppose you are a statistics consultant, hired to study whether a tax on alcohol has decreased average alcohol consumption in Australia. For a given sample of randomly selected individuals, you are able to obtain the dif ...
The probability of someone ordering the daily special is 52%. If the restaurant expected 96 people for lunch, how many would you expect to order the daily special?
The STAT 200 course coordinator wants to estimate the proportion of all online STAT 200 students who attend Penn State Learning tutoring sessions. In a survey of 72 students during the Summer 2018 semester, 8 had attende ...
SHOW YOUR WORK AND SOLUTIONS What is the NPV of a project that costs $15,000 and returns $25,000 annually for three years if the opportunity cost of capital is 14%?
You have a bag with three fair dice. One is 4-sided, one is 6-sided, and one is 12-sided. You reach into the bag, pick one die at random, and roll it. The outcome of the roll is 4. What is the probability that you rolled ...
Financial Management How can a financial manager use the time value of money(TVM) concept to accomplish this goal?
1. Out-of-state tuition and fees at the top graduate schools of business can be very expensive, but the starting salary and bonus paid to graduates from many of these schools can be substantial. The following data show t ...
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Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate
Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p
Compute the present value of an annuity of $ 880 per year for 16 years, given a discount rate of 6 percent per annum. As
Compute the present value of an $1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int
Compute the present value of an annuity of $ 699 per year for 19 years, given a discount rate of 6 percent per annum. As