Binomial Distribution — Quiz Answers

Which of the following is a binomial experiment?

Mrs. Gomes found that 40 percent of students at her high school take chemistry. She randomly surveys 12 students. What is the probability that exactly 4 students have taken chemistry? Round the answer to the nearest thousandth. cap p times k successes is equal to n cap c sub k p to the k th power open paren 1 minus p close paren raised to the n minus k power n cap c sub k is equal to the fraction with numerator n factorial and denominator open paren n minus k close paren factorial times k factorial

According to a poll, 30 percent of voters support a ballot initiative. Hans randomly surveys 5 voters. What is the probability that exactly 2 voters will be in favor of the ballot initiative? Round the answer to the nearest thousandth. cap p times k successes is equal to n cap c sub k p to the k th power open paren 1 minus p close paren raised to the n minus k power n cap c sub k is equal to the fraction with numerator n factorial and denominator open paren n minus k close paren factorial times k factorial

How many outcomes are possible for one event of a binomial experiment?

Which of the following is a binomial experiment?

Van guessed on all 8 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he got exactly 1 question correct? Round the answer to the nearest thousandth. cap p times k successes is equal to n cap c sub k p to the k th power open paren 1 minus p close paren raised to the n minus k power n cap c sub k is equal to the fraction with numerator n factorial and denominator open paren n minus k close paren factorial times k factorial

Johnni guessed on all 8 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that she got exactly 3 questions correct? Round the answer to the nearest thousandth. cap p times k successes is equal to n cap c sub k p to the k th power open paren 1 minus p close paren raised to the n minus k power n cap c sub k is equal to the fraction with numerator n factorial and denominator open paren n minus k close paren factorial times k factorial

Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads? cap p times k successes is equal to n cap c sub k p to the k th power open paren 1 minus p close paren raised to the n minus k power n cap c sub k is equal to the fraction with numerator n factorial and denominator open paren n minus k close paren factorial k factorial

Thuy rolls a number cube 7 times. Which expression represents the probability of rolling a 4 exactly 2 times? cap p times k successes is equal to n cap c sub k p to the k th power open paren 1 minus p close paren raised to the n minus k power n cap c sub k is equal to the fraction with numerator n factorial and denominator open paren n minus k close paren factorial times k factorial

Rina spins the given spinner 30 times. A success occurs when the spinner lands on a number that is greater than 6 What is the probability of a success and a failure for this experiment?

How many outcomes are possible for one event of a binomial experiment?

Dion flips a coin 20 times and records if it comes up heads. If getting heads is a success, what is the probability of a success on each roll?

Two percent of mobile phones produced at a factory are defective. Which of the following is a binomial experiment?

A researcher finds that 15 percent of all commuters in a metropolitan area take the train to work. The researcher polls 250 people in the area and asks them whether they take the train to work. What is the number of trials for this binomial experiment?

Thirty-three percent of all students at a high school like beef stew. Out of 300 students, 40 are selected randomly and asked whether they liked beef stew. If liking beef stew is a success, what is the probability of a failure for this binomial experiment?

Janie flips a coin 70 times and records if it comes up heads. If getting heads is a success, what is the probability of a failure?

Which of the following is a binomial experiment?

Franco has a hat with 9 blue marbles, 4 yellow marbles, and 12 green marbles. He designs a binomial experiment by drawing a marble from the hat, recording whether the marble is green, and then laying the marble aside. He then repeats the process seven times. Which statement must be true?

Which of the following is a binomial experiment?

Forty-four percent of the members of the Science Club wear blue shirts. Which of the following is a binomial experiment?