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A probability provides a quantitative description of the likely occurrence of a particular event.

4
votes
1answer
If I randomize time points $$T=\{266.14646, 107.28526, 108.89631, 593.03129,\\ 118.10284, 425.60470, 39.02817, 291.90210\}$$ into two groups of equal size, then what is the probability that $T_i … $ (the $i$-th time point) will be the 3rd order statistic of the second group? Given that $T_i$ follows an exponential with rate $\lambda_i$. I am getting confused to calculate this probability. Especially with what should be the probability that $T_i$ is the 3rd largest value of the 2nd group. …
asked Jan 18 '13 by Blain Waan
1
vote
1answer
Suppose we have 10 patients among whom 4 readmit and 2 get censored. Then what is the probability of readmission of these patients? My intuition tells me it should be 0.5, because I couldn't observe … what would happen to the censored patients if they did not get censored. So, I should exclude them from the denominator while calculating the probability with which the patients readmit? …
asked Jan 13 '15 by Blain Waan
2
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sequences of realizations of a random variable, and more precisely, the set of these infinite sequences. It states that the set of imbalanced sequences has probability 0 in a sense that generalizes …
answered Jan 30 '13 by Blain Waan
2
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Let me discuss these answers stepwise. These problems should be thought in a two step process. You can easily realize that two humans can not be treated alike as can be the colors (red, orange etc.). …
answered Oct 23 '12 by Blain Waan
1
vote
0answers
I am doing a research work which needs a probability calculation. I'll be grateful if the community cross validates the formula that I have derived using the idea of binary strings and following a … that may or may not have tied observations. This time I want to calculate the probability that $x_i$ will be allocated to treatment B1. So, here is my generalization: After we sort the data in R, let …
asked Jan 28 '13 by Blain Waan
3
votes
1answer
I am dealing with an interesting probability problem. I had $16$ subjects randomly divided into $4$ different rooms, each room having $4$ seats. The subjects were given a question to solve. We knew … next task. I want to find out the probability that the subject having the 5th ordered solving time was the $1st$ solver of the $1st$ room or the $2nd$ solver of the $2nd$ room or the $1st$ solver of …
asked Jan 17 '15 by Blain Waan
2
votes
0answers
. I am struggling to calculate: $$\mathbb{P}(X<C)=\int_0^{3.5}\int_0^{c}f_X(x)dxf_C(c)dc+\int_0^{3.5}\int_1^{c}f_X(x)dxf_C(c)dc$$ since for group 2, $X$ is dependent on $T$. Can someone help me find out the probability? …
asked Mar 23 '17 by Blain Waan
2
votes
To understand the problem easily let's consider that all the five cards are of the same 'type' (either all spade, or all diamond, or whatever you wish). So the face value is different only by the 5 di …
answered Nov 9 '13 by Blain Waan