Exam 9: Binomial Distribution

You suspect that many of your fellow students are upset over the high cost of gasoline. If the actual percentage is 85% and you randomly sample 100 of your fellow students, what is the probability that at least 90 would be upset over the high cost of gasoline?

Assume your friend just took an exam made up of 20 true/false questions. Further assume that your friend had no knowledge relevant to the questions, and consequently just guessed the answer to each question. What is the probability he will get a B, if the B range is 80-89%?

If P = 0.40 for the probability of getting a head on any one flip of the coin, then _________.

Assuming the binomial distribution is appropriate, if N = 12 and P = 0.60, the probability of getting exactly 11 P events is _________.

For the binomial distribution to be appropriate, P and Q must be equal.

Define biased coins.

If P = 0.30 and Q = 0.67, the binomial distribution does not apply.

A cat lover wants to know if cats have color vision. She teaches her cat to press a green button to obtain a food reward. She then gives the cat a choice between a green and a red button, but only rewards it when it presses the red button. Position of the button is controlled for. The cat is given several practice trials, and then tested 15 times. If the cat cannot distinguish between red and green, what is the probability that it will push the red button at least 12 times out of 15?

What is the probability of rolling a die and getting an even number exactly 5 times out of 9 rolls?

The requirements for the binomial distribution are _________.

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 pick the microbrewery's beer? Assume there is no taste preference for any of the beers and that chance alone determines each selection.

The binomial distribution _________.

Consider the binomial expansion for 6 events: P ₆ + 6 P ₅ Q + 15 P ₄ Q ₂ + 20 P ₃ Q ₃ + 15 P ₂ Q ₄ + 6 PQ ₅ + Q ₆ What term(s) would you use to evaluate the probability of obtaining 1 or fewer heads from 6 flips of an unbiased coin?

The probability of obtaining a result as extreme or more extreme than 4 heads if 11 coins were tossed and p ( H ) = 0.35 is _________.

If one of the terms in a binomial expansion were 210 P 6 Q 4 , what is the value of N ?

The binomial distribution can be used when there are three outcomes on each trial.

A football player is practicing making field goals from the 30-yard line. If the probability of his kicking a field goal is 0.75, what is the probability he will kick at least 12 field goals in the next 15 tries? Assume independence between tries.

If p ( H ) = 1.00 and N coins were tossed, how many coins would come up tails?

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 all 7 volunteers pick the microbrewery's beer? Assume there is no taste preference for any of the beers and that chance alone determines each selection.

In one flip of 10 unbiased coins, what is the probability of getting a result as extreme or more extreme than 8 heads?