Exam 9: Binomial Distribution

( P + Q ) 2 = P 2 + Q 2 in the binomial expansion.

The binomial distribution is a discrete distribution.

What is the probability of 4 heads turning up out of four tosses of the coin if the probability of any one head is P = 0.40?

If the probability of a defective chair = 0.85 and you randomly sample 20 chairs from 10,000 chairs, what is the probability that at least 19 chairs will be defective?

A local microbrewery believes it produces the best tasting dark beer in town. To make its case, seven volunteers are asked to participate in a beer tasting contest. Each volunteer is asked to taste 5 dark beers and to pick the one he/she prefers. Of the 5 dark beers, one is microbrewery's and the other 4 are national favorites. What is the probability that none of the volunteers pick the microbrewery's beer? Assume there is no taste preference for any of the beers and that chance alone determines each selection.

Assume you are flipping an unbiased coin and that the flipping process is entirely random. A psychic claims that he can sense the outcome of each flip. You put him to the test. You flip the coin 6 times and guess what? The psychic correctly calls the outcome each time. If the psychic is really only guessing on each flip, what is the probability of his being correct six out of six times?

The binomial distribution is _________ symmetrical.

A coin is said to be biased if p ( H ) ≠ p ( T ) ≠ 0.50. If unfair coins are biased such that p ( H ) = 0.35, what is the probability of getting 5 or more heads if 10 coins were tossed once?

Solving the binomial expansion to 4 decimal places will give more accurate values than the entries in Table B of the textbook.

What is the value of 6 P ₅ Q if P = 0.20?

P + Q = 1.

Because Table B, "Binomial Distribution," in Appendix D of the textbook only lists probabilities for values of P = 0.40 and 0.45, it is not possible to use the binomial distribution to solve problems where P = 0.43.

Suppose you gave a multiple-choice exam with 16 questions on it. Each question has 4 alternatives. What is the probability that a student who guesses at random on each of the 16 questions will score 4 or fewer correct answers? Assume that each alternative to each question is equally likely to be chosen.

As N increases, the binomial distribution _________.

The requirement that NP ?5= 10 is a necessary and sufficient requirement for using the normal approximation.

A local microbrewery believes it produces the best tasting dark beer in town. To make its case, seven volunteers are asked to participate in a beer tasting contest. Each volunteer is asked to taste 5 dark beers and to pick the one he/she prefers. Of the 5 dark beers, one is microbrewery's and the other 4 are national favorites. What is the probability that exactly 3 of the volunteers don't pick the microbrewery's beer? Assume there is no taste preference for any of the beers and that chance alone determines each selection.

It is preferable to use the normal approximation because it is more accurate than the binomial table.

For the binomial distribution to apply to any situation, the situation must involve only two possible outcomes on each trial.

If p ( H ) = 0.90 and 8 coins were tossed once, what is the probability of getting results as extreme or more extreme than 7 heads?

In a situation where there are only two possible events, A and B, on each trial, if P = Q on each trial