Question 1

Which of the following is NOT a requirement for a binomial probability distribution?

Accepted Answer

Each trial must have more than two possible outcomes.

Question 2

Given a binomial experiment with $$n = 5$$ trials and probability of success $$p = 0.85$$, what is the probability that exactly 3 out of 5 randomly selected adults know what Twitter is? Use the binomial probability formula.

Accepted Answer

$$0.1382$$

Question 3

Which Excel function would you use to find the probability of getting at most $$x$$ successes in $$n$$ binomial trials with probability $$p$$?

Accepted Answer

=BINOM.DIST(x, n, p, 1)

Question 4

Suppose 60% of adults believe in the devil. If 5 adults are randomly selected, what is the probability that exactly 3 of them believe in the devil?

Accepted Answer

$$0.3456$$

Question 5

In a binomial distribution, what does the parameter $$q$$ represent?

Accepted Answer

The probability of failure in a single trial

Question 6

A football analyst wants to know if winning the overtime coin toss gives a team a significant advantage. In 460 games, the team that won the toss won 252 times. Assuming wins and losses are equally likely, what is the probability of getting 252 or more wins by chance?

Accepted Answer

$$0.0224$$

Question 7

Which of the following best describes the meaning of 'independent trials' in a binomial experiment?

Accepted Answer

The outcome of one trial does not affect the probability of outcomes in other trials.

Question 8

If $$p = 0.6$$ and $$n = 5$$, what is the probability that at least 2 adults believe in the devil?

Accepted Answer

$$0.91296$$

Question 9

Which formula correctly represents the probability of getting exactly $$x$$ successes in $$n$$ binomial trials with probability $$p of $$success?

Accepted Answer

$$P(x) = \frac{n!}{x!(n-x)!} p^x q$$^{n-x}$$

Question 10

A researcher uses Excel to calculate $$1 - 	ext{BINOM.DIST}(1, 5, 0.6, 1). $$What probability is being calculated?

Accepted Answer

The probability that at least 2 out of 5 adults believe in the devil

Question 11

Which of the following scenarios is NOT appropriate for modeling with a binomial distribution?

Accepted Answer

Counting the number of different colors of marbles drawn from a bag in 10 draws without replacement.

Question 12

If $$n = 5$$, $$p = 0.6$$, and $$x = 4$$, what is the probability that exactly 4 adults believe in the devil?

Accepted Answer

$$0.2592$$

Question 13

Which of the following best describes the meaning of $$P(x) in a $$binomial distribution?

Accepted Answer

The probability of getting exactly $$x$$ successes in $$n$$ trials

Question 14

A survey finds that 85% of adults know what Twitter is. If 5 adults are randomly selected, what is the probability that at least 3 of them know what Twitter is? (You may use the binomial formula or Excel.)

Accepted Answer

$$0.8916$$

Question 15

Which of the following is the correct interpretation of $$q = 1 - p in a $$binomial probability distribution?

Accepted Answer

The probability of failure in a single trial

Binomial Probability Distributions: Concepts, Notation, and Applications

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