probability

3. Card picking dependant probability without replacement - P(6,6,Red)

Hi All, I'm trying to teach myself statistics online @ khan academy and although its a wonderful resource I have no one to turn to for help when I don't understand. I hope someone here might be able to give me some advice. I've made some questions up myself to try and work out the answer and...
4. Leave-one-out error strictly decreasing when number of parameters is increased, when it should not be?

People may or may not be able to help intuitively shed light on my problem. Maybe I haven't considered some aspects. I'm running a non-parametric (kernel) regularized least squares estimation on some binary training data to then predict probabilistic values for the non-training data. I have 9...
5. Binomial Probability of Remaining Trials at a different X value

I am trying to find the binomial probability of the remaining trials in a binomial probability at a different probability of success on the leftover trials. My example: Number of Trials 6 Number of Successes 2 Prob of success on one trial: 75.8% Binomial probability output: 2.95% Out of my...
6. Probability 2-vector probability

Can someone help me to answer the third question please.

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8. Calculate propability of certain outcome

So I have a question, these statistics lessons have been such a long time that I'm not sure how to calculate the following: Say that there is a new disease, and I have a test that is 100% reliable. I have tested 100 people, and have found that 3 people got the disease. So from now on this is...
9. 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?
10. 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...
11. 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...
12. probability -please help ;(

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!
13. 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...
14. Please help with the following question

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...
15. 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...
16. 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...
17. 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...
18. 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...
19. 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...
20. Inference Statistic - Likelihood Function

## 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...