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A certain stock has a price of 100 at time 0. At any time k, let Mk denote the average of the prices at times 0, 1, ... , k. The price at time k + 1 will be either Mk, Mk + 20, or Mk - 20, each with probability 1/3. What is the distribution of the stock price at time 2? What is the expected value at time 2? Is this process a Markov process, martingale, submartingale, supermartingale?
one person has 3 dollars to gamble each time he uses only one dollar the probability is 60 to lose and 40 to win. if he
a set of 10 cards consists of 5 red cards and 5 black cards. the cards are shuffled thoroughly and i choose one at
lori m. is trying to determine the proportion of expense reports that contain questionable charges. she takes a
a student is required to take college algebra before taking stats. but not all students are required to take stats.
Compute the coefficient of determination, r 2 , and interpret its meaning.
Let Sn denote the total of the outcomes through the nth toss. Show that there is a limiting value for the proportion of the first n values of Sn that are divisible by 7, and compute the value for this limit. Hint : The desired limit is an equilibrium..
a random sample of 16 students from the student body of a large university had an average age of 25 years and a sample
Formulate a statistical hypothesis appropriate for the consumer groups purpose - Compute the mean average miles per gallon and compute the sample variance and sample standard deviation.
Assign probabilities to the sample points and then find the probability that the first envelope purchased contains less than $100.
Assume there are 18 homes in the Quail Creek area and 9 of them have a security system. Five homes are selected at random: what is the probability all five of the selected homes have a security system?
use zero through third order taylor series expansions to predict f2 for the function fx25x3-6x27x-88 using a base point
Describe meaning of alternatives, criteria and states of nature. Explain how are they utilized in decision analysis?
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