AnswersMathematics III ABinomial Distribution

Binomial Distribution Answers

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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
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
9

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.
10

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

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