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-114300342900Eve flips a coin 10 times and gets 4 “Heads”.Alec guesses answers on a multiple-choice quiz that has 25 questions. Each question has 5 answer choices. Harry answers 10 problems correctly.Jack rolls a number cube 5 times and gets a 3 at least once.00Eve flips a coin 10 times and gets 4 “Heads”.Alec guesses answers on a multiple-choice quiz that has 25 questions. Each question has 5 answer choices. Harry answers 10 problems correctly.Jack rolls a number cube 5 times and gets a 3 at least once.What is a Binomial Experiment?Experiment(What is being done)Number of trials (No. of times Experiment is repeated)Success(Event we are interested in)Failure(Any other Possibility)P(success)P(failure)Number of SuccessesNumber of failuresFlips of a Coin10HeadsTails0.50.546Note: In each of the above cases the requirements for a binomial experiment given below are fulfilled.Each trial of the experiment, namely flipping a coin, guessing on a multiple-choice quiz and rolling a number cube has only __________________________ outcomes.The probability for success is the ___________________ for every trial which means the trials are _______________________.P(Heads)= ________ P(correct answer)= ______ P(rolling a “3”)= ______ 297180038735If a binomial experiment has: n = number of trials,r = number of successesp = probability of successesq = probability of failureThen the binomial probability that there will be exactly r successes is: 00If a binomial experiment has: n = number of trials,r = number of successesp = probability of successesq = probability of failureThen the binomial probability that there will be exactly r successes is: Guided Practice: The final exam in Algebra 2 consists of 25 multiple-choice questions. Oddly, instead of reviewing for the exam, you spent the week watching old “How I met your mother” reruns. You are completely unprepared and opt to guess on every problem. You need to get at least 10 correct to pass the class. EACH ANSWER HAS 5 CHOICES.Find the probability that you will get exactly 20 correct.Find the probability that you will get exactly 10 correct.Find the probability that you will get as at least 3 correct.Use the Binomial Theorem to expand the binomial.(x+y)3 (p+q)5(2x+y)3Solve.Of the new cars in a car dealer’s lot, 1 in 6 are white. Today, 4 cars were sold.What is the probability that 3 of the cars sold were white?What is the probability that at least 2 of the cars sold were white?At a small college, 13 of all of the students are vegetarians. There are 5 students in line at the cafeteria.What is the probability that all 5 students are vegetarians?What is the probability that just 1 of the students is vegetarian?Ellen plays 8 hands of a card game with her friends. She has a 1 in 3 chance of winning each hand. What is the probability that she will win exactly half of the hands played?6. In a lottery, each ticket buyer has a 1 in 10 chance of winning a prize. If Chip buys 10 tickets, what is the probability that he will win at least 1 prize? ................
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