Question 1
0 out of 4 points
What is the probability that one can call the flip of a coin correctly at least 6 out of 7 times assuming that the coin is fair?
Question 2
0 out of 4 points
If one of the terms in a binomial expansion were 210P6Q4, what is the value of N?
Question 3
0 out of 4 points
If Q = 0.30 then P equals _________.
Question 4
0 out of 4 points
Suppose you flip 35 biased coins once. The probability of a head with each coin equals 0.30. What is the probability you will get 15 or more heads?
Question 5
0 out of 4 points
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.
Question 6
0 out of 4 points
What is the value of 6P5Q if P = 0.20?
Question 7
0 out of 4 points
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.
Question 8
0 out of 4 points
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.
Question 9
0 out of 4 points
What is the probability of obtaining exactly 5 P events if the appropriate term of the binomial expansion to evaluate were 6P5Q1 and P = 0.42?
Question 10
0 out of 4 points
A biased coin is defined as _________.
Question 11
0 out of 4 points
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 your friend will fail the exam, if a failing grade is 59% or below?
Question 12
0 out of 4 points
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.
Question 13
0 out of 4 points
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?
Question 14
0 out of 4 points
If an event has 3 possible outcomes, then one cannot use the binomial distribution in analyzing the results.
Question 15
0 out of 4 points
In the binomial expansion of (P + Q)10, the last term of the expansion will be _________.
Question 16
0 out of 4 points
In solving a binomial problem, if the evaluation required only finding the probability of all P events, and N = 40, evaluating P40 would be more accurate than using the normal approximation. Assume no rounding.
Question 17
0 out of 4 points
Assuming the binomial distribution is appropriate, if N = 6 and P = 0.50, the probability of getting exactly 5 P events = _________.
Question 18
0 out of 4 points
If one flips 5 unbiased coins once, what is the probability of getting exactly 3 heads?
Question 19
0 out of 4 points
Your introductory psychology class has 189 males and 261 females. If you randomly sample 40 of these classmates, what is the probability you will get at least 32 females?
Question 20
0 out of 4 points
The binomial distribution is symmetrical _________.
Question 21
0 out of 4 points
The requirements for the binomial distribution are _________.
Question 22
0 out of 4 points
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 an A, if 90 – 100% defines the A range?
Question 23
0 out of 4 points
If P = 0.40 for the probability of getting a head on any one flip of the coin, then _________.
Question 24
0 out of 4 points
Consider the binomial expansion for 6 events:
P6 + 6P5Q + 15P4Q2 + 20P3Q3 + 15P2Q4 + 6PQ5 + Q6
What term(s) would you use to evaluate the probability of obtaining 1 or fewer heads from 6 flips of an unbiased coin?
Question 25
0 out of 4 points
Assuming the binomial distribution is appropriate, if N = 10 and P = 0.30, the probability of getting at least 8 P events is _________.
