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Questions tagged [probability-distributions]

Questions on using, finding, or otherwise relating to probability distributions, probability density functions (pdfs), cumulative distribution functions (cdfs), or other related functions. Use this tag along with the tags (probability), (probability-theory) or (statistics).

Any probability distribution, including beta, binomial, chi, Erlang, gamma, geometric, lognormal, negative binomial, normal (Gaussian), Pareto, Poisson, Student's t, uniform, Wald, Weibull, zeta, and Zipf.

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$3$-dimensional ball of radius $\sqrt{3}$ distribution.

How can I calculate the distribution of $X_1, $if $X_1$ denote the first coordinate of a point chosen at random from the $3$-dimensional ball of radius $\sqrt{3}$? Someone could give me some hints pls?
Rosa Maria Gtz.
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I need help answering this probability question

In a pizza takeout restaurant, the following probability distribution was obtained. The random variable x represents the number of toppings for a large pizza. In the image, x is the number of toppings for a large pizza. P(x) is the probability of…
CaptainPower
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Dice Problem(probability distribution)

A player throws an ordinary die. If the player gets a six, he can throw the die once more. Then his score is the sum of the two throws. Otherwise his score will be the number of his first throw. Assume the player throws the die no more than two…
Henry Tsui
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Poisson's distribution upper limit

Poisson distribution is defined as: $$P(X=i)=\frac{\lambda^i}{i!}e^{-\lambda}$$ How do you find out upper limit for this distribution ? Lets say that $\lambda=0.7$. My question is that is there any other way for solving $k$ from this equation than…
Tuki
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Determine the density function of the maximum of a random sample

Determine the density function of the maximum of a random sample of size $n$ from an exponential distribution with rate parameter $\eta$ So I don't really know where to start with this, any help appreciated.
Rubicon
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finding distribution of function of exponential random variable

I want to see if there is known distribution for the below question. Thanks If X has exponential distribution with parameter $\lambda$, what is the distribution of $Y= \frac{1-e^{cx}}{a-e^{cx}}$, where $c>0$ and $0
Ellie
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find the joint density function of two continuous random variables

The joint probability density function of two continuous random variables X and Y is given that $f_{X,Y}(x,y)=\alpha$ when $x^2+y^2 \le r^2$ and $f_{X,Y}(x,y)=0$ otherwise. How to compute the constant $\alpha$? Could anybody give me a hint? As the…
user8185923
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How to formally write probability distribution?

Let $X$ be a random variable that takes values from 0 to 9 with equal probability $\frac{1}{10}$. a) Find the probability distribution of the random variable $Y = X \mod 4$. b) Find the probability distribution of the random variable $Y = 6 \mod (X…
Hello
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Given a CDF, obtaining a random variable with said CDF

I'm working on the following problem. We're given a CDF, $F_y(t)$, and a uniformly distributed random variable $X$ on the interval $[0,1]$. We define $Y = f(X)$ where $f(u) = inf\{t \in \mathbb{R} | F_y(t) \geq u\}$. We want to prove that $Y$ has…
user31415926
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About Continuous probability distribution

I've read :The probability that a continuous random variable will assume a particular value is zero. Why is that? Could someome explain to me with a clear example?
user316849
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Choose an element by distribution probability

I have this probabilities: $$P(x1) = 0.2$$ $$ P(x2) = 0.2$$ $$ P(x3) = 0.3$$ $$ P(x4) = 0.3$$ Probabilities My problem have dependences so, I have to put 0 at the elements that can not be selected. For example, we have to choose first $x_1$ to…
Dragg
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What is the expected time for the first of these bulbs to burn out?

A company buys 100 lightbulbs, each of which has an exponential lifetime of 1000 hours. What is the expected time for the first of these bulbs to burn out? For this, I divided 1000/100 to get 10 hours, is this correct?
Bobby
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Distribution of a sequence obtained from a simple stochastic process

I have the following program: function x = getx(x = 0, p = .5) if rand > p x = getx(x)+1; else x = 0; end end for i=1:n z(i) = getx(); end What is the distribution of $z$ ?
davcha
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Why does the distribution of the probability change this way?

Bob wants to test a possibly biased coin's probability $p$ of getting heads. His prior prediction is that $p \sim \mathrm{Uniform}(0, 1)$. After getting all heads on 2 flips of the coin, why should the probability distribution change to…
John Hoffman
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Total probability with multiple conditions

my question concerns the law of total probability: (1) $\;\;P(A) = \sum_{i} P(A|B_i) \cdot P(B_i) \;.$ In a book I found an equation, which seems to be an extension of equation (1) for the case that the conditional probability $P(A|B_i)$ consists…
user3523846
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