Binomial Distribution This is a discrete random variable, where the process of obtaining the Binomial distribution is called “Bernoulli “ process. An experiment that often consists of repeated trials, each with two possible outcomes, which could be labeled as “success” or “failure”. This experiment is known as binomial experiment. A binomial experiment is one that possesses the following properties: 1. The experiment consists of n repeated trials. 2. Each trial has only 2 possible outcomes that can be classified as “Success” or “Failure”. 3. The probability of a success and failure , denoted by pand q, remains constant from trial to trial. 4. The repeated, trials are independent. Formula for …show more content…
of heads from 5 toss of a coin. a) Find the value of X. b) Calculate the value of P(X). c) What is the probability for at least 3 heads in a try? 2. A die is thrown 5 times. Calculate the probability when the lands at 4, if a) twice b) 3 times. 3. 25% of a local university who registered for the first year needs additional class for mathematics. If 6 students are chosen at random, find the probability a) 1 student needs the additional class b) 2 students need the additional class c) 3 students who need the additional class. 4. If X represents the number of broken pencils from 5 pencils chosen at random in a box of 100 pencils, where 10 are broken. Find the probability a) P(X = 3) b) P(X ≥ 3) c) P(X ≤ 2) 5. In an examination of 10 objective questions, every one contains 5 answers but only one that is correct. If one student that has never study, sit for examination could only answer by guessing the right answer. Find the probability a) none of the answer are correct b) only 3 answer are correct. 6. Probability of a man between 20-24 years married is 0.2. 20 men are chosen from the age group, find a) the probability that 9 has gotten married b) the probability that less than 3 are already married c) µ , the number of men from the group who has already married. 7. 40% from Kedah’s population visit Langkawi
3. What is the probability of 5 people with different ages siting in ascending or descending order at a round table?
The results were intriguing as there were large individual differences or variation in responses. However nonetheless what was evident was that 25 percent of participants remained independent throughout the trials, another 50 percent conformed to the erroneous majority in 6 or more trials and another 5 percent conformed on all 12 trials. Therefore the average conformity rate was 33 percent.
In the video "How Statistics Fool Juries," Oxford mathematician Peter Donnelly attempts to demonstrate through a number of examples how statistics, when viewed in a common manner, can be misunderstood and how this can have legal repercussions. Through a number of thought experiments, Donnelly provides the audience with examples of how seemingly simple statistics can be misinterpreted and how many more variables must be taken into account when calculating chance. Primarily he exposes the audience to the concept of relative difference, or the difference in likelihood between two possibilities in the same scenario. He then goes on to explain that without an understanding of this concept, many juries misunderstand statistics used in trials and very often convict people based on this faulty understanding.
The cumulative probability of outcomes from 4 to 20 is .6%. The outcome parameters were 4 to 20 because, we were specifically asked to look at the probability of Four-D rejecting >=4 or more shipments in 20 days.
The Game of Lottery As mentioned before, the most popular form of lottery is the methed of random number selection. In the American lottery, a player first picks five different whole numbers between 1 and 59. Upon calculation, there are 5,006,386 combinations that could be made from the availability of these numeral combinations. After the player has chosen their five numbers, they pick another, final number that is between 1 and 35 - the powerball. A list of the combinations would look like (1, 2, 3, 4, 5), (1, 2, 3, 4, 6) and so on all the way up to (55, 56, 57, 58, 59). Thus, in calculating a player's chance
a) Probability that it is a student = 800 / 1000 = 0.80 or 80%
3. List the probability value for each possibility in the binomial experiment that was calculated in MINITAB with the probability of a success being ½. (Complete sentence not necessary)
Then complete the following distribution tables. Please pay attention to whether you should present the results in terms of percentages or simple counts.
| 2. Solve by simulating the problem. You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the experimental probability that you will guess exactly three out of five questions correctly? Type your answer below using complete sentences.
a. What is the probability of a score falling between a raw score of 70 and 80?
The student data file was used as the data source. The sample size included one hundred men and one hundred women. Thirty-five out of one hundred men had not declared for a degree. Fifteen out of one hundred women had not declared for a degree. The level of
distribution with an average of 2 per 30 second period. What is the probability of having
Dice Throw, while it can be calculated using math to project the probability of getting a particular number.
Experimental probability of an event is the ratio of the number of times the event occurs to the total number of trials.
Ninety percent of the population in Woodville has carpeted rooms in their home. A marketer of carpet cleaner learned that, last year, 10% of the population with carpet purchased Foamy carpet cleaner and 9.5% of the total population purchased it. What percentage of the population without carpeted rooms in their home purchased Foamy last year? 10.