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Let X(t) be a Brownian motion process with drift = 10 and volatility = 2.
(i) Find the conditional mean of X(2) given X(1) = 0 and X(4) = 2.
(ii) Find the conditional variance of X(2) given X(1) = 0 and X(4) = 2.
(iii) Find the conditional distribution of X(2) given X(1) = 0 and X(4) = 2.
(iv) For s < t, derive the conditional variance of X(s) given X(t) and X(0) as a function of (s, t).
To test the hypothesis that 48% of PC users have never used a Mac, the analyst took a sample of 50 PC customers drawn at random and found that 22 of them had never used a Mac.
Suppose that in fact 8% of the apples on the truck do not meet the standards. What is the probability that the shipment will be accepted anyway?
roger and harry play the following game each of them rolls a fair die. their rolls are independent. roger wins if the
suppose that the null hypothesis is h0 micro 1000 and the alternative hypothesis h1 micro 6 1000. assuming sigma
For all questions, clearly explain/show your answers. For the Analysis section, justify your answers with the appropriate graphs, statistics, equations, etc.
Construct a 95% confidence interval for the true proportion of the market who still refuse to visit any of the restaurants in the chain three months after the event.
The average patient should pay no more than $250 out-of-pocket? State your hypotheses and decision rule. (b) Is this a close decision?
addition thermo on probability.in a certain college the men play various sports in the following
Find a linear function G(p) that gives the number of gallons sold as a function of the price of the milk.
To test the hypothesis that students who finish an exam first get better grades, Professor Barker kept track of the order in which papers were handed in.
Explain the difference between testing a single mean, testing the difference between two means from an "independent sample" and testing mean differences from a "dependent sample".
according the international atomic energy agency electricity per-capita consumption in canada is 16939 kwh in 2002. a
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