What is the distribution of the number of occurrences of a given integer, in repeated samples drawn from Uniform Integer [1, N] distribution?Random Balls in Random Buckets: What are the characteristics of the distribution?The difference of two discrete uniform variables taken modulo. Is still uniform?Expected standard deviation for a sample from a uniform distribution?Distribution of ratio of 2 points drawn from normal distribution?Probability the next draw from a distribution is greater than some number given a previous drawMaximum gap between samples drawn without replacement from a discrete uniform distribution
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What is the distribution of the number of occurrences of a given integer, in repeated samples drawn from Uniform Integer [1, N] distribution?
Random Balls in Random Buckets: What are the characteristics of the distribution?The difference of two discrete uniform variables taken modulo. Is still uniform?Expected standard deviation for a sample from a uniform distribution?Distribution of ratio of 2 points drawn from normal distribution?Probability the next draw from a distribution is greater than some number given a previous drawMaximum gap between samples drawn without replacement from a discrete uniform distribution
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If I draw M repeated samples from Uniform Integer Distribution on [1,N], what will be the distribution of the number of times a given integer chosen among the integers 1,2,...,N appears in my M samples?
For concreteness, lets say that I draw repeatedly 100 times from Uniform Integer [1,5] distribution. What then will be the distribution of the number of times the integer 3 appears in my 100 samples?
probability distributions uniform
asked May 4 at 11:12
Joro KolevJoro Kolev
111 bronze badge
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$begingroup$
If I draw M repeated samples from Uniform Integer Distribution on [1,N], what will be the distribution of the number of times a given integer chosen among the integers 1,2,...,N appears in my M samples?
For concreteness, lets say that I draw repeatedly 100 times from Uniform Integer [1,5] distribution. What then will be the distribution of the number of times the integer 3 appears in my 100 samples?
probability distributions uniform
asked May 4 at 11:12
Joro KolevJoro Kolev
111 bronze badge
$endgroup$
add a comment
|
$begingroup$
If I draw M repeated samples from Uniform Integer Distribution on [1,N], what will be the distribution of the number of times a given integer chosen among the integers 1,2,...,N appears in my M samples?
For concreteness, lets say that I draw repeatedly 100 times from Uniform Integer [1,5] distribution. What then will be the distribution of the number of times the integer 3 appears in my 100 samples?
probability distributions uniform
asked May 4 at 11:12
Joro KolevJoro Kolev
111 bronze badge
$endgroup$
If I draw M repeated samples from Uniform Integer Distribution on [1,N], what will be the distribution of the number of times a given integer chosen among the integers 1,2,...,N appears in my M samples?
For concreteness, lets say that I draw repeatedly 100 times from Uniform Integer [1,5] distribution. What then will be the distribution of the number of times the integer 3 appears in my 100 samples?
probability distributions uniform
probability distributions uniform
asked May 4 at 11:12
Joro KolevJoro Kolev
111 bronze badge
asked May 4 at 11:12
Joro KolevJoro Kolev
111 bronze badge
asked May 4 at 11:12
Joro KolevJoro Kolev
111 bronze badge
asked May 4 at 11:12
Joro KolevJoro Kolev
111 bronze badge
asked May 4 at 11:12
Joro KolevJoro Kolev
111 bronze badge
111 bronze badge
add a comment
|
add a comment
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1 Answer
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In a single draw, your chosen integer will be drawn with probability $frac1N$. Since you draw with replacement, the total number of such successes is binomially distributed with parameters $M$ and $p=frac1N$.
answered May 4 at 11:42
Stephan KolassaStephan Kolassa
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$begingroup$
In a single draw, your chosen integer will be drawn with probability $frac1N$. Since you draw with replacement, the total number of such successes is binomially distributed with parameters $M$ and $p=frac1N$.
answered May 4 at 11:42
Stephan KolassaStephan Kolassa
57.7k10 gold badges113 silver badges213 bronze badges
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$begingroup$
In a single draw, your chosen integer will be drawn with probability $frac1N$. Since you draw with replacement, the total number of such successes is binomially distributed with parameters $M$ and $p=frac1N$.
answered May 4 at 11:42
Stephan KolassaStephan Kolassa
57.7k10 gold badges113 silver badges213 bronze badges
$endgroup$
add a comment
|
$begingroup$
In a single draw, your chosen integer will be drawn with probability $frac1N$. Since you draw with replacement, the total number of such successes is binomially distributed with parameters $M$ and $p=frac1N$.
answered May 4 at 11:42
Stephan KolassaStephan Kolassa
57.7k10 gold badges113 silver badges213 bronze badges
$endgroup$
In a single draw, your chosen integer will be drawn with probability $frac1N$. Since you draw with replacement, the total number of such successes is binomially distributed with parameters $M$ and $p=frac1N$.
answered May 4 at 11:42
Stephan KolassaStephan Kolassa
57.7k10 gold badges113 silver badges213 bronze badges
answered May 4 at 11:42
Stephan KolassaStephan Kolassa
57.7k10 gold badges113 silver badges213 bronze badges
answered May 4 at 11:42
Stephan KolassaStephan Kolassa
57.7k10 gold badges113 silver badges213 bronze badges
answered May 4 at 11:42
Stephan KolassaStephan Kolassa
57.7k10 gold badges113 silver badges213 bronze badges
57.7k10 gold badges113 silver badges213 bronze badges
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