probability

In conducting a Probability Risk Analysis or statistical risk Analysis, for example over the actions of nature for a particular period of time and for a particular geographical location, one is expected to put a distribution over all the actions of nature and choose the action that maximizes...

Hey everyone! I'm coding a program that identifies appearances of a lowercase "x" in a base64 encoded string. Like the following: DWADCrxV+PhR4zxkQrIMUtarkN11aitHI8DEnzyG19CD... I know the probability of finding at least one "x" in a sequence of 10 chars. My doubt is about dealing with...

Hi, I need to produce a probability for a vehicle and a pedestrian meeting along a 1km road. Here is what I know: •1km road •cars take 3 minutes to travel •pedestrians take 12 minutes to travel •30 cars an hour •20 pedestrians an hour The cars and pedestrians may also be grouped or evening...

A production engineer has designed a system to remove sugars from a liquid product. Each product must contain an amount of sugar less than or equal to 12g. The engineer randomly samples 3 products and finds the sugar contents to be 4.5, 3.7, and 3.2g respectively. The sample mean is 3.8g and the...

Hello, I have a date set (n=150) with 2 variables: contract value ($) and a binary variables success/failures that indicate whether the contract was completed without problems. I want to know, for a given contract value, the probability of failure. I decided to create a basic histogram with my...

The New England Patriots are playing the Buffalo Bills. The fractional odds are Patriots 1/2 and the Bills 2/1, where a bet on the Patriots risks $2 to win $1, and a bet on the Bills risks $1 to win $2. A rational bettor has $1 to bet. A $1 wager on the favorite Patriots yields a $0.50 profit...

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...

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...

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...

Can someone help me to answer the third question please.

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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...

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...