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An algorithm randomly generates a sequence $(c_1, c_2,… c_n)$
The Next CEO of Stack OverflowLottery with coupon collecting - what prices are fair?Distribution of # balls in each container (balls dropped randomly)Proof: Probability using InductionSampling from weighted sum distributionProbability of disjoint cycles.How to account for revealed cards in a model of a poorly shuffled deck?Urn with an infinite number of balls of finite, uniformly distributed coloursExpected Balls in Bins of Unequal CapacitiesExpected length of randomly generated decreasing sequenceProbability that sum of three digits is the same as sum of other three digits
$begingroup$
An algorithm randomly generates a sequence $(c_1, c_2,... c_n)$, where each $c_i$ can assume the values $0$, $1$ or $2$. Given $A_k =$ $k$ values of the sequence are equal to $0$ and $B_j$ = $j$ values of the sequence are equal to $1$.
How to calculate $P (A_k)$, for $k = 0, 1,. . . , n$?
probability statistics
asked Mar 27 at 19:08
user649882user649882
144
$endgroup$
add a comment |
$begingroup$
An algorithm randomly generates a sequence $(c_1, c_2,... c_n)$, where each $c_i$ can assume the values $0$, $1$ or $2$. Given $A_k =$ $k$ values of the sequence are equal to $0$ and $B_j$ = $j$ values of the sequence are equal to $1$.
How to calculate $P (A_k)$, for $k = 0, 1,. . . , n$?
probability statistics
asked Mar 27 at 19:08
user649882user649882
144
$endgroup$
add a comment |
$begingroup$
An algorithm randomly generates a sequence $(c_1, c_2,... c_n)$, where each $c_i$ can assume the values $0$, $1$ or $2$. Given $A_k =$ $k$ values of the sequence are equal to $0$ and $B_j$ = $j$ values of the sequence are equal to $1$.
How to calculate $P (A_k)$, for $k = 0, 1,. . . , n$?
probability statistics
asked Mar 27 at 19:08
user649882user649882
144
$endgroup$
An algorithm randomly generates a sequence $(c_1, c_2,... c_n)$, where each $c_i$ can assume the values $0$, $1$ or $2$. Given $A_k =$ $k$ values of the sequence are equal to $0$ and $B_j$ = $j$ values of the sequence are equal to $1$.
How to calculate $P (A_k)$, for $k = 0, 1,. . . , n$?
probability statistics
probability statistics
asked Mar 27 at 19:08
user649882user649882
144
asked Mar 27 at 19:08
user649882user649882
144
asked Mar 27 at 19:08
user649882user649882
144
asked Mar 27 at 19:08
user649882user649882
144
asked Mar 27 at 19:08
user649882user649882
144
144
add a comment |
add a comment |
1 Answer
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$A_k$ follows a binomial distribution where the probability of success $p = 1/3$ and the probability of failure is $q = 2/3$. Note that I am assuming that $c_i sim U(3)$ iid. Thus
$$P(A_k)=binomnkp^kq^n-k.$$
answered Mar 27 at 19:17
model_checkermodel_checker
4,41621931
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add a comment |
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1 Answer
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$begingroup$
$A_k$ follows a binomial distribution where the probability of success $p = 1/3$ and the probability of failure is $q = 2/3$. Note that I am assuming that $c_i sim U(3)$ iid. Thus
$$P(A_k)=binomnkp^kq^n-k.$$
answered Mar 27 at 19:17
model_checkermodel_checker
4,41621931
$endgroup$
add a comment |
$begingroup$
$A_k$ follows a binomial distribution where the probability of success $p = 1/3$ and the probability of failure is $q = 2/3$. Note that I am assuming that $c_i sim U(3)$ iid. Thus
$$P(A_k)=binomnkp^kq^n-k.$$
answered Mar 27 at 19:17
model_checkermodel_checker
4,41621931
$endgroup$
add a comment |
$begingroup$
$A_k$ follows a binomial distribution where the probability of success $p = 1/3$ and the probability of failure is $q = 2/3$. Note that I am assuming that $c_i sim U(3)$ iid. Thus
$$P(A_k)=binomnkp^kq^n-k.$$
answered Mar 27 at 19:17
model_checkermodel_checker
4,41621931
$endgroup$
$A_k$ follows a binomial distribution where the probability of success $p = 1/3$ and the probability of failure is $q = 2/3$. Note that I am assuming that $c_i sim U(3)$ iid. Thus
$$P(A_k)=binomnkp^kq^n-k.$$
answered Mar 27 at 19:17
model_checkermodel_checker
4,41621931
answered Mar 27 at 19:17
model_checkermodel_checker
4,41621931
answered Mar 27 at 19:17
model_checkermodel_checker
4,41621931
answered Mar 27 at 19:17
model_checkermodel_checker
4,41621931
4,41621931
add a comment |
add a comment |
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