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Results tagged with probability
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user 54609
For questions about probability. independence, total probability and conditional probability. For questions about the theoretical footing of probability use [tag:probability-theory]. For questions about specific probability distributions, use [tag:probability-distributions].
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"Round to the nearest integer" for a question on a binomial process?
There is a question on a test about a binomial process where you are given the variance and the mean, and you are asked to approximate $n$, the total number of trials in the binomial process, to the n …
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3
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3
answers
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Probability problem in textbook
What is the probability that 2 get off at one stop and 2 at another stop?"
The correct answer is supposed to be 5/72. How should I proceed with the problem? …
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1
answer
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Probability question in textbook
Show that the probability they win is 0.493." … P(10)}{P(10)+P(7)}+P(11)$$
where $P(k)$ denotes the probability of getting a sum of $k$ with one throw of the two dice. …
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Seating of $n$ people with tickets into $n+k$ chairs with 1st person taking a random seat
What is the probability that person $n$, the last person to enter the theater, finds their seat already occupied?" …
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4
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Another textbook problem on probability
Find the probability that the numbers of the tickets form an arithmetic progression.
[The order in which the tickets are selected does not matter.]" … Thus the probability must be 2C3/[(2n+1)C3]. However, the textbook gives n^2/[(2n+1)C3].
What went wrong? …
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2
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(poisson distro) Why is my expansion of the messy summation for the answer wrong?
Given that $x$ sales were made in a certain hour, find the probability function for $Y$, the number of calls made in that hour.
My steps:
Let $X={\text{calls}}$, $Y={\text{sales}}$. …
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0
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1
answer
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Is this proposition correct?
$P(A\mid B)\leq \frac{a+b-1}{b}$
where $P(A)=a,P(B)=b$.
I found this example problem on notes I took in class but I forgot to copy down how the prof proved the proposition. Maybe I miscopied the prop …
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0
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1
answer
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Textbook question about a weird lottery
.$
(b) Assuming that all tickets are sold, what is the probability that the operator will lose money
on the lottery?
I'm having trouble with this problem. …
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3
votes
1
answer
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Why was I wrong doing this problem?
Find the probability there are $4$ or more spills in a $2$ month period." … Then I calculated the probability that there will be $3$ or $2$ or $1$ or no spills over $600$ days, then I subtracted it from 1. …
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2
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Why is my variance calculation wrong?
Suppose $X$ has the the probability function: $$f(x)=\begin{cases}
\frac{1}{2x} & \text{for }x=2,3,4,5,6\\
\frac{11}{40} & \text{for }x=1.
\end{cases}$$
Find the mean and variance for $X$. …
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4
answers
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Playing chess until one party wins
Find the probability $A$ wins before $B$.
Since the games are independent, I can simply calculate $P(A \text{ wins} \mid \text{somebody wins})$ right? The textbook does not have a solution. …
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0
votes
2
answers
294
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Finding a maximum likelihood function
Let $X_{1},X_{2},\dots,X_{n}$
represent a random sample from a distribution with probability density function $$f(x;\theta)=\frac{x}{\theta}e^{-x^{2}/2\theta}\hspace{1em}x>0
$$
Find the maximum likelihood …
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vote
1
answer
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"Incremental" hypergeometric distribution?
Give the joint probability distribution of $X$ and $Y$. …
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0
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1
answer
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Keep on getting wrong value for linear regression $\beta$ estimator derivation
Consider the simple regression model through the origin
$$Y=\beta x + R$$where $R\sim G(0,\sigma)$.
Find the maximum likelihood estimator for $\beta$.
I keep getting $$\hat{\beta}=\frac{\sum_{i=1}^{ …
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0
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1
answer
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Normal distribution for approximation of expected profit
Gambling: Crown and Anchor. Crown and Anchor is a game that is sometimes played at
charity casinos or just for fun. It can be played with a “wheel of fortune" or with 3 dice, in which
each die has its …
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