Binomial Distribution Answers

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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.

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A
0.005
B
0.008
C
0.213
D
0.227
2
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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.

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A
0.033
B
0.267
C
0.461
D
0.733
3

Which of the following is a binomial experiment?

A
Flipping a coin until it comes up tails
B
Flipping a coin until 8 heads are recorded
C
Flipping a coin 10 times and recording if it comes up heads
D
Flipping a coin by 10 different people and recording the age of each person
4

Thuy rolls a number cube 7 times. Which expression represents the probability of rolling a 4 exactly 2 times?

Question illustration
A
Subscript 7 Baseline C Subscript 5 Baseline (one-sixth) squared (one-sixth) Superscript 5
Option A
B
Subscript 7 Baseline C Subscript 5 Baseline (one-sixth) Superscript 5 Baseline (five-sixths) squared
Option B
C
Subscript 7 Baseline C Subscript 2 Baseline (one-sixth) squared (five-eighths) Superscript 5
Option C
D
Subscript 7 Baseline C Subscript 2 Baseline (two-sixths) squared (four-sixths) Superscript 5
Option D
5

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

A
Selecting phones randomly until a non-defective phone is chosen
B
Selecting phones randomly until 200 defective phones are chosen
C
Selecting 200 phones randomly and recording whether each phone is defective
D
Selecting a group of phones randomly and recording the number of defective phones in the group
6

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?

Question illustration
A
;
Option A
B
;
Option B
C
;
Option C
D
;
Option D
7

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 flip?

A
0.2
B
0.3
C
0.5
D
1.00
8

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?

A
The experiment is not a binomial experiment because there is not a fixed number of drawings.
B
The experiment is not a binomial experiment because the probability of choosing a green marble is the same for each drawing.
C
The experiment is not a binomial experiment because the probability of choosing a green marble is not the same for each drawing.
D
The experiment is not a binomial experiment because there are only two possible outcomes for each drawing.
9

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?

A
0.2
B
0.5
C
0.7
D
1.00
10

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.

Question illustration
A
0.024
B
0.031
C
0.132
D
0.309

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