Binomial Distribution Answers

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

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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
2
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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?

A
15
B
38
C
250
D
265
3

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

A
1
B
2
C
3
D
4
4

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
5

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
6

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.

Question illustration
A
0.033
B
0.267
C
0.461
D
0.733
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

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
9

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
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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