Identify Binomial Experiments

Does the following describe a binomial experiment? If yes, identify n, p, q, and x. Cyanosis is the condition of having blueish skin due to insufficient oxygen in the blood. About 80% of babies born with cyanosis recover fully. A hospital is caring for five babies born with cyanosis. The random variable represents the babies that recover fully.

• no

• Yes. n=5, p=.8, q=.2, x= 0,1, 2, 3, 4, 5

• Yes. n=5, p=.8, q=.2, x= 1, 2, 3, 4, 5

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

• Number of trials

• Number of Successes

• Probability of Success

• Probability of Failure

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.

Does the following describe a binomial experiment? If yes, identify n, p, q, and x. A state lottery randomly chooses 6 balls numbered 1 to 40. You choose 6 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery.

• no

• Yes. n=6, p= 1/6, q= 5/6, x= 0,1, 2, 3, 4, 5, 6

• Yes. n=6, p= 1/6, q= 5/6, x= 1, 2, 3, 4, 5, 6

Determine if the following is binomial: A certain surgical procedure has an 85% chance of success. A doctor performs the procedure on 8 patients. The random variable represents the number of successful surgeries.

• Binomial

• NOT Binomial

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let x = the number of aces you observe.

• Yes

• No, the trials are not independent.

• No, there are more than 2 outcomes.

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let X = the number of aces you observe.

• Yes

• No, the trials are not independent.

• No, there are more than 2 outcomes

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 10 times. Let X = the number of aces you observe.

• Yes

• No, the trials are not independent.

• No, there are more than 2 outcomes

Does the following describe a binomial experiment? If yes, identify n, p, q, and x. Cyanosis is the condition of having blueish skin due to insufficient oxygen in the blood. About 80% of babies born with cyanosis recover fully. A hospital is caring for five babies born with cyanosis. The random variable represents the babies that recover fully.

• no

• Yes. n = 5, p = 0.8, q = 0.2, x = 0, 1, 2, 3, 4, 5

• Yes. n = 5, p = 0.8, q = 0.2, x = 1, 2, 3, 4, 5

• Yes. n = 5, p = 0.2, q = 0.8, x = 0, 1, 2, 3, 4, 5

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

• Number of trials

• Probability of Success

• Probability of Failure

• Number of Successes