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Binomial Distribution

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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

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