# Tagged Questions

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### Finding the roots of a polinomial function obtained by a Binomial c.d.f.

I came across with the following question and I am also attempting to solve it. Let $B(K/2;K,1-x)$ be the Binomial c.d.f. with $K$ trials having at least $K/2$ success with each trial having success ...
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### Likelihood of Two Binomial Distributed RV's

We are given that Let X1~Bin(n1 = 34, p1) and X2~Bin(n2 = 56, p2) In general, what is the likelihood, L(p1, p2) = f (X1, X2 | p1, p2) for the data X1 and X2 I believe that I am supposed to use a ...
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### Probability of two independent random variables being equal

Assume that $X$ and $Y$ are two independent random variables that follow the binomial distribution of parameters $p$ (the probability of one success) and $n$ (the number of trials). I was wondering ...
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### Binomial Distribution - independence

I have the following problem that I'm stuck on a few parts. ...
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### Solving sample size of hypergeometric distribution given a specific probability

I am trying to figure out how to calculate the sample size of a hypergeometric distribution, given a population, population successes, and probability. Here is the initial formula: ...
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### In a lottery of $90$ numbers a man adds extra $1,2,3$

Consider a lottery where $5$ balls are chosen randomly among $90$ balls numbered from $1$ to $90$. A man cheats adding to the $90$ balls, before the draw, three more balls numbered $1,2,3$. We say ...