Binomial Distribution Answers

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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.

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A
0.024
B
0.031
C
0.132
D
0.309
2
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How many outcomes are possible for one event of a binomial experiment?

A
1
B
2
C
3
D
4
3

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?

A
0.33
B
0.40
C
0.57
D
0.67
4

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
5

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.

Question illustration
A
0.005
B
0.008
C
0.213
D
0.227
6

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
7

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
8

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
9

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

A
Selecting eight members randomly and recording whether each member is wearing a blue shirt
B
Selecting eight members randomly and recording the number in the group wearing a blue shirt
C
Selecting members randomly until one without a blue shirt is chosen
D
Selecting members randomly until one with a blue shirt is chosen
10

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

Question illustration
A
Subscript 9 Baseline C Subscript 3 Baseline (0.5) cubed (0.5) Superscript 6
Option A
B
Subscript 9 Baseline C Subscript 3 Baseline (0.5) cubed
Option B
C
Subscript 9 Baseline C Subscript 3 Baseline (0.5) cubed (0.5) Superscript 9
Option C
D
Subscript 9 Baseline C Subscript 6 Baseline (0.5) Superscript 6
Option D

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