probability

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?

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...

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!

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...

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...

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...

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...

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...

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...

## LaTeX Code Can anyone help me understand this? Consider the four observations from de Normal Distribution with variance equal to one $y_1 < 10$$, y_2 > 10 $, $5 < y_3 < 10 $ and $ y_4 = 10$. The likelihood function is? Would be: $ \prod_{1}^{4} \frac{1}{\sqrt(2\pi)}\exp{-\frac{(y_i...

How many ways are there to categorize 12 people into 3 teams of 4? if order does not matter: 12!/4!4!4!3! or ((12 choose 4)(8 choose 4) (4 choose 4))/3! if order matters across teams: 12!/4!4!4! (or (12 choose 4) (8 choose 4) (4 choose 4)) Then, if order matters within teams or if order...

Dear All, Below is my question; You are a statistics insctructor and you cover the topic of logistic regression. In order to ensure that your students understand the material , you create a short quiz covering the material from the section. --Among the students who take the quiz, those who...

As the title say. I have made a linear regression analisy of an event, and I got the concentration of probabilities at a given space of the Graphic (X, Y) ... so how to extract the odds of the event to happen by this linear regression analisy? This is the grahic:

Hi everyone - see my problem below. With a regular die I know my denominator is 36 for each probability. What I'm wondering here is if that changes since multiple sides of the die have the same number... Right now I have the probability of a sum of 2 is 1/36, a sum of 3 as 2/36, sum of 4 as...

So this is a bit confusing and I will try to explain the best way possible: 1 parent 1 parent = 2 Parents + + = No + - = No - +...

What is the best statistical method to measure the probability of people fitting a certain criteria in my data overlapping with another criteria? I am tasked to display this in a column/bar chart for a simple display of the consequence of its selection on other relevant pots of data.

I need a hlep because i didnt understand the course so If someone can help me for thi thank you very much

A slot machine works on inserting a $1 coin. If the player wins, the coin is returned with an additional $1 coin, otherwise the original coin is lost. The probability of winning is 1/2 unless the previous play has resulted in a win, in which case the probability is p < 1/2. If the cost of...