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Find the probability of the Binomials given. 5. In a history class, Colin and Diana both write a multiple choice quiz. There are 10 questions. Each question has five possible answers. What is the probability that. Colin will pass the test if he guesses an answer to each question.
Determine if the following situations suggest a random variable with a binomial distribution: The number of questions correct if one randomly guesses on a quiz of 20 multiple choice questions where each question has 4 possible answers; The number of people with blue eyes in a group of 10 people drawn from a room of 30 people without replacement.
The probability that Anna wakes up before her alarm rings is 0.4 . a) Find the mean and variance of the number of times that Anna wakes up before her alarm rings, in the next 7 mornings.
Example If X is binomially distributed with 6 trials and a probability of success equal to 1 4 at each attempt, what is the probability of: (a) exactly 4 successes (b) at least one success? Solution This question can be rewritten in the following way. If X ~ B 6, 1 4, what is: (a) PX()=4 (b) PX()≥1? Number Expected
18 Ιουλ 2022 · What is the probability that a family of five children will have at least three boys? What is the probability that a toss of four coins will yield at most two heads? A telemarketing executive has determined that for a particular product, 20% of the people contacted will purchase the product.
Binomial Probability. Find the probability of each event. 1) A basketball player has a 60% chance of making each free throw. What is the probability that the player makes exactly three out of six free throws? 3) A class has five students. What is the probability that exactly two of the students were born on a weekend?
Binomial distribution practice problems. 1. A student is given a multiple choice exam with 10 questions, each question with five possible answers. Assume the student randomly chooses answers to the questions. a. What’s the probability that they will get exactly 6 questions correct? b.
