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Question: Laplace's rule of succession. Laplace claimed that when an event happens n times in a row and never fails to happen, the probability that the event will occur the next time is (n + 1)/(n +2). Can you suggest a rationale for this claim?
Let G denote the general linear group GL2(Fp) of invertible 2 × 2 matrices with entries in the field Fp of integers modulo a prime p. Find a Sylow p-subgroup of G, and determine the number of Sylow p-subgroups
Simplified Blackjack. A game between a "dealer" and a "customer" is played with a (very large) mixed deck of cards consisting of equal numbers of ones, twos.
If two matrices A and B are related by a change of basis (that is, if B = p-1 AP for some P), then the matrices are said to be Similar.
It will do so in such a way that it will have a 25% debt-equity ratio after the change, and it will maintain this debt-equity ratio forever. Assume that Remex's debt cost of capital will be 6.24%.
Find the mixed strategies for the given payoff matrix.
Suppose a (nonfair) coin is flipped successively with the probability of heads or tails on any trial being p and 1 - p, respectively. Define an infinite Markov.
At Western University the historical mean of scholarship examination scores for freshman applications is 900. A historical population standard deviation.
Employee, a member of a religious group that believed in white supremacy, was demoted when a newspaper article was published giving his religious views.
Given any integers a, b, and s, if a - b is odd and b - s is even, what can you say about the parity of a - s -Detective Sharp interviewed the men and determined that all were lying except for one.
Write the elements of matrix R in terms of real-numbers r1, r2,..............rN. Clearly, show at least the top 4 x 4 part and all the elements on the four corners.
A country's labor force is the sum of the number of employed and unemployed workers. The accompanying table provides data on the size of the labor force.
Calculate the cost of each individual sale separately using LIFO procedures. The firm uses the perpetual inventory system, and there are 52 units of the item on hand at the end of the year. What is the total cost of the ending inventory according ..
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