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For any given numbers a and b such that a < b, find the variance of the uniform distribution on the interval (a, b).
Statistics and Probability, Statistics
There are 3 orange balls and 17 blue balls that are in a bag. A person reaches into the bag, without looking, and pulls one of the balls out of the bag. What is the probability that the ball is orange?
The blenders produced by a company have a normally distributed life span with a mean of 8.2 years and a standard deviation of 1.3 years. What warranty should be provided so that the company is replacing at most 10% of th ...
Assume that 15 questions are answered by guessing. 1) What is the probability of exactly 14 correct answers?
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 ...
Yixuan is building a tower out of Lego pieces. For the bottom layer of the tower, he has 12 large Lego blocks to choose from. Each of these large blocks is a different color and he has decided to use 5 of them for the bo ...
The probability of a California teenager owning a surfboard is 0.43, of owning a skateboard is 0.38, and of owning both is 0.28. If a California teenager is selected at random, find the probability that he or she owns a ...
The weights of ice cream cartons are normally distributed with a mean weight of 20 ounces and a standard deviation of 0.5 ounces. You randomly select 25 cartons. What is the probability that their mean weight is greater ...
In a panel discussion with 3 industry reps, 2 government reps, and 1 association rep, how many ways can they be seated along a row a) with no restrictions (each person can sit anywhere)? b) if the 3 industry reps must si ...
Assume in a particular year aprojecthas the following financials: NOI o $700,000; Annual Bedt Service o $430,000 (of which $400k is intrest and 30k is priciple); original loan debt of 6.2M: 39 yr depreciable life: $8M no ...
According to a study in a previous year, 57.0% of households nationwide used natural gas for heating during a year. Recently, a survey of 2,700 randomly selected households showed that 58.0% used natural gas. Use a 0.05 ...
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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
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Compute the present value of an annuity of $ 880 per year for 16 years, given a discount rate of 6 percent per annum. As
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