# probability

1. ### 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?
2. ### Concept of Stationary Population in Demography.

The definition of stationary population is: "The stationary population is a model without immigration or emigration in which the same age-specific probabilities of death apply continuously and in which there are the same number of births and deaths each year." Can anyone please explain me...
3. ### Relationship between events

I've come across this exercise. There has been a research on free time activities, which has the following findings: 55% of people that are under 50 years old run regularly (three times per week), whereas only 35% of people who are over 50 run regularly. Assume that 60% of people are under 50...

Hi! I am trying to do this tasks but can't think of any way to solve this, reading my notes doesn't help at all:/ I've done what I could in ex.3 and started ex.4. I will appreciate help with any task!
5. ### Finding probability with a sample size and no SD or mean

I have a problem dealing with finding a desired percentage and I'm only familiar with finding these kinds of probabilities with a standard deviation and sample mean present. I believe I need to utilize the Z-scores to find this probability but I'm not sure how to get started. Any guidance to get...

A firm produces chains. The length of each link is independent of each other and normally distributed. The mean length of a link is 10. 95% of all links have a length between 9 and 11. The total length of each chain is the sum of the lengths of its links. You consider chains with 100 links 2...
7. ### Convergence in probability

Dear readers, I have a problem saying: "Let [X1, X2,....] be a sequence of random variables such that Xn is distributed according to a Bernoulli distribution with parameter (1/n), with n an integer number. Prove that Xn converges in probability to 0, by obtaining P(|Xn| > Epsolon). Could you...
8. ### Probability of boxers winning in 10,50,100 matches. Binomial

In the final match a boxer is facing another boxer and is expected to win 48% of the time. In reality they win 80% of the time. What is the probability of that occurring in 10 matches? 2) In the very next match (in a different tournament), the boxer who won the previous match only wins 40% of...
9. ### Sampling Distribution Problem

Roll a dice five times. Record the results in Sample 1. Repeat the experiment for Sample 2, 3, and 4. In a live classroom setting, actual survey data is used. In this knowledge check online environment, please use the following data: Sample 1 Sample 2 Sample 3 Sample 4 2 4...
10. ### I need a push in the right direction, not sure how to attack the problems..

Hi :) I am new here on the forum and find it a bit difficult to learn the way to go at different statistics/probability - problems. For the most times I am able to figure it out myself doing some research, but the last two problems has got me stuck for a few days. I would be really thankful for...
11. ### Likelihood Function

Can anyone help me understand this? Consider the four observations from de Normal Distribution with variance equal to one y1 < 10, y2 > 10, 5 < y3 < 10 and y4 = 10. The likelihood function is? Would be: Replacing: I want to know if this is correct or have another way of solving this...