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Let A and B be 2 independent events such that the probability is 1/3 that they will occur simultaneously and t that A will occur and B will not occur. Find P[A] and P[B]; are P[A] and P[B] uniquely determined?
Statistics and Probability, Statistics
Waterton Lakes National Park in Alberta has 6 trails that reach the icefields. If a hiker wishes to reach the icefields in 3 different ways during a visit, how many different possibilities would there be?
In a study comparing response rates between treated and non-treated subjects, 60% of subjects are observed to have both responded and been treated. If we also know that a randomization ratio of 2:1 was used (e.g. twice a ...
You want to try your hand at investing.You want to invest in WellsFargo because you think their hard times are behind next ten years at least. In fact, they have estimated that the increasing at a rate of 18% per year fo ...
On average, the parts from a supplier have a mean of 97.5 inches and a standard deviation of 12.2 inches. Find the probability that a randomly selected part from this supplier will have a value between 85.3 and 109.7 inc ...
Translate the statement into a confidence interval for p. Approximate the level of confidence. In a survey of 1000 U.S. adults, 19% are concerned that their taxes will be audited by the Internal Revenue Service. The surv ...
A group of students made the following scores on a 10-item quiz in psychological statistics: {5, 6, 7, 7, 7, 8, 8, 9, 9, 10, 10} What is the variance, treating these scores as a sample?
A set of score has a mean of μ = 63 and a standard deviation of σ = 8. If these scores are standardized so that the new distribution has μ = 50 and σ = 10, what new value would be obtained for a score of X = 59 from the ...
In a hypothesis test, we use a sample to gain insight on what is likely the outcome for the population. In your example, that is a probability of 1 out of 20 as there were 20 people in the class. A hypothesis test might ...
One? study, based on responses from 1,016 randomly selected? teenagers, concluded that 44?% of teenagers cite grades as their greatest source of pressure. Use a 0.05 significance level to test the claim that fewer than h ...
Babies weighing less than 5.5 pounds at birth are considered "low-birth-weight babies." In the United States, 7.6% of newborns are low-birth-weight babies. The following information was accumulated from samples of new bi ...
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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