Binomial Probability Practice

What does the n stand for in the binomial probability formula?

• Number of trials
• Number of Successes
• Probability of Successes
• Probability of Failures

What does the p stand for in the binomial probability formula?

• Number of trials
• Number of Successes
• Probability of Successes
• Probability of Failures

What does the (1-p) stand for in the binomial probability formula?

• Number of trials
• Number of Successes
• Probability of Successes
• Probability of Failures

What does the k stand for in the binomial probability formula?

• Number of trials

• Number of Successes

• Probability of Successes

• Probability of Failures

Which of the following is NOT an assumption of the Binomial distribution?

• All trials must be independent.
• Each trial must be classified as a success or a failure.
• All trials are dependent on each other.
• The number of successes in the trials is counted.

A company states that 2% of its computers are returned for defects.  We take a sample of 100 computers to find the probability of 10 being defective.  Is this a binomial distribution?

• No because there is not a fixed number of trials.
• No because their are more than 2 outcomes.
• Yes since there are a fixed number of independent trials, outcomes in 2 categories, and the probability of defect is constant.
• No since computers would not be independent.

A coin is tossed ten times. What is the probability that there are exactly 6 heads?

• 0.2051

• 0.90

• 0.4568

• 0.3465

If you were to flip a coin 20 times, what is the probability you would get exactly 10 heads?

• 0.50

• 0.1762

• 0.5881

• 0.4119

When rolling a fair die 100 times, what is the probability of rolling a "4" exactly 25 times?

• 0.01

• 0.1670

• 0.25

• 0.021

The probability that Carlo will sink a foul shot is 70%. If Carlo attempts 30 foul shots, what is the probability he sinks exactly 21 foul shots?

• 0.1570

• 0.6810

• 0.70

• 0.7240