Binomial Distribution

Question 1

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?

Revolt · Accepted Answer

The experiment is not a binomial experiment because the probability of choosing a green marble is not the same for each drawing.

Question 2

According to a poll, 30% 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.

Revolt · Accepted Answer

0.309

Question 3

Rina spins the spinner below 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?

Revolt · Accepted Answer

;

Question 4

Which of the following is a binomial experiment?

Revolt · Accepted Answer

A survey asking 75 people if they like the new school building

Question 5

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

Revolt · Accepted Answer

Selecting eight members randomly and recording whether each member is wearing a blue shirt

Question 6

Mrs. Gomes found that 40% 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.

Revolt · Accepted Answer

0.213

Question 7

A researcher finds that 15% 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?

Revolt · Accepted Answer

250

Question 8

Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads?

Revolt · Accepted Answer

Subscript 9 Baseline C Subscript 3 Baseline (0.5) cubed (0.5) Superscript 6

Question 9

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.

Revolt · Accepted Answer

0.267

Question 10

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

Revolt · Accepted Answer

2

Binomial Distribution Answers

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