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Let {W{t),t ≥ 0} be a Brownian motion with drift coefficient μ and diffusion coefficient σ2. We assume that the flow of a certain river can be modeled by the process {X(t),t ≥ 0} defined by
where k is a constant. Next, let d be a value of the flow above which the risk of flooding is high. Suppose that X(0) = d/3: Calculate the probability that the flow will reach the critical value d in the interval (0,1] if μ ≥ 0 and a - 1.
Make a point estimate and a 95% confidence interval estimate.
Distinguish among classical or a priori probability, relative frequency or empirical probabil- ity, and subjective or personalistic probability. What is the disadvantage of each?
what is confidence interval in statistics? please give an example.could anyone help me this
where X is some set. Construct a branch-and-bound tree that starts with a subproblem where the integer constraints are relaxed, and proceeds with successive restriction of the variables x1,...,xn to the values 0 or 1.
Calories in each hamburger measured. Can the reporter conclude, at α = 0.05, that the hamburgers from the two chains have a different number of Calories?
a certain brand of refrigerator has a lenght of life that is normally distributed with a mean and a standard deviation
At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations.
An engineer collected data from a random sample of water tank construction projects to build a statistical linear model that not only estimates the unit cost of water tank construction but also investigates the influence of certain factors on the..
to find the sample size needed for a hypothesis test if ho mu10 ha mult10 sigma is unknown alpha 0.01 beta 0.05 and e
To test is there any significant difference among two proportions. The Damon family owns a large grape vineyard in western New York along Lake Erie.
Right-split and up-split can be expressed as instances of a general splitting operation. Define a procedure split with the property that evaluating (define right-split (split beside below)) (define up-split (split below beside)) produces procedure..
A recent study of 50 self-service gasoline stations in the Greater Cincinnati' Northern Kentucky metropolitan area revealed that the mean price of unleaded gas was $2.029 per gallon. The sample standard deviation was $0.03 per gallon.
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