# probability distribution

1. ### joint probability distribution three variables

there are 3 variables: X, Y, Z. A pair is independent. Another pair dependent. another pair mutually exclusive. i have crated joint probability distribution tables for 1st independent pair 2nd dependent pair 3rd disjoint pair. i'm stuck at how to create joint probability distribution...
2. ### What kind of distribution to model new business success

BLS data show that the probability of a new business remaining in business after 1 year is 80%, after 2 years it's 70%, after 5 years it drops to 50% and the probability of still being around after 10 years is 30%. What kind of distribution can I use to model this? I've been searching online for...
3. ### The true proportion of respondents

Fellow, stats lovers! I am now trying to remember my early statistics course in order to solve the following problem: 1) During the survey, 40% of the population maintain interest in mathematics. 1000 people were interviewed. With what probability can it be argued that the proportion of...
4. ### What is normal curve actually?

Hi All, I am fairly new to Stats and thus this question. I was going through different materials to learn stats. 1. Somwhere its mentiond that a population, if plotted against frequency on a bar graph can produce a normal curve (e.g popcorn popping, heights of people etc) 2. Whereas somewhere...
5. ### Probability question

Hi guys, I have a probability question that I really tryed to solved, but seems to be to hard for my actual knowledge. I would kindly asked if you can help me with that. We have 985 white balls and 15 black balls, randomly distributed in the white balls. All 1000 balls are splited in grups of...
6. ### Probability of a multiple variables sum

Hi everyone, I’m coming here for really advance statistic/probability advice. I would like to know the probability of a variable TAU_total such as TAU_total=TAU1+TAU2+….+TAU129. The variables TAUi are independent of each other. For each one of them, I have a sample of 20,000 values which you...
7. ### How to get amount to pay in order to be fair

If a man purchases a raffle ticket, he can win a first price of $50,000 or a second price of$20, 000 with probabilities 0.001 and 0.003. What should be a fair price to pay for the ticket?
8. ### Help with homework. Decision rule to minimise a type 1 error of a sample mean, with probability unknown

Question link: My answer: 1a) To minimize, you make the decision rule being, reject null hypothesis if x-bar is more than 1, or less than 0. Since there is 0 probability of happening, you never make a type 1 error b) 1 - p-cubed c) 0.9 cubed = 0.729 However, I don't exactly understand the...
9. ### Modelling continuous measurements

In the attachment from a set of notes, a brief description of how we describe a continuous measurement is described. I have a few basic questions regarding this, any assistance would be appreciated: Questions: I think the motivation for defining \DeltaW_n is to define it as the error per...
10. ### Estimating probability of critical value

Hello everyone, Once we get a critical value (for example 4.5) how can we estimate the probability of having a value higher than 4.5 if the probability distribution is not normally distributed? I leave in attachment a picture of the histogram that I get. Thank you very much for all the...

12. ### How to evaluate Mean and Variance of Min Function??

Detail is Given in Image attach
13. ### Poisson Distribution using probabilities

If X follows a poisson distribution where P(X=1)=0.4,P(X=2)=0.6, what is the value of P(X=0)? How will I solve this question?
14. ### Shared car usage

Given a pool of C cars available to use by P people, the arrival rate of drivers to borrow cars is r, and the average trip time is t, how often will there be zero cars available for use?
15. ### Could someone verify my logic for managing probability distributions in an experiment

I'm not well versed in stats lingo, but am hoping my logic in the concepts here makes sense and is correct. Often in my work (measuring electrical responses of cells) I take of more than one independent measure per sample, such as the time to an event occurring, along with the size of that...
16. ### PDF of (nearly) collinear variables

My question is motivated by a problem with estimation by maximum likelihood. In simple terms, I want to estimate a parameter \beta and have three variables, X, Y and Z, such that Z = X+Y. Using all three variables is pointless and the joint pdf is singular. Now, suppose that instead of Z I have...
17. ### Probability distribution of combinations

Hi to everybody! I would ask an advice on an analysis that I want to do. I have n=69 balls, within 69, 17 are black balls, 29 white balls, 22 red balls and 1 yellow balls. How can I compute a probability distribution of all possible combinations in r=7 positions, considering that could...
18. ### Probability distribution of all possible combinations

Hi to everybody! I would ask an advice on an analysis that I want to do. I have n=69 balls, within 69, 17 are black balls, 29 white balls, 22 red balls and 1 yellow balls. How can I compute a probability distribution of all possible combinations in r=7 positions, considering that could...
19. ### Quantile prediction?

Here is my situation. I am trying to predict the 'entire' distribution of the dependent variable, not just the mean( or conditional mean). Does it then make sense to seprateley predict quantiles of this variable to learn about the new predicted CDF? I intend to use this CDF as one input (say...
20. ### How to determine distribution with no parameters

I'm confused by this question and I was hoping for some guidance some one to point me in the right direction Let X1.........Xn be a random sample from a population with mean μ, that is E(Xi)=μ for all 1≤i≤n. Define Yi=1 if Xi<μ and Yi=0 otherwise a) Determine the distribution of...