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front 1 If E and F are not disjoint events, then P(E or F)equals= | back 1 P(E) + P(F) - P(E and F) |

front 2 Suppose an experiment consists of rolling a fair die ten times and recording the number of sevens obtained. If event E is defined as getting at least one 7, how would you describe the complement ofE? | back 2 The complement of event E is the event that no sevens are obtained. |

front 3 Three cards are drawn without replacement from a standard deck, and the number of kings is noted. Does this constitute a binomial experiment? Why or why not? | back 3 No, because the probability of getting a king is not the same for each of the three draws. |

front 4 any collection of outcomes from a probability experiment. | back 4 event |

front 5 The probability of obtaining x successes in n independent trials of a binomial experiment is given by P(x)equals=Subscript n Baseline Upper C Subscript x Baseline p Superscript x Baseline left parenthesis 1 minus p right parenthesis Superscript n minus xnCxpx(1−p)n−x, where p is the probability of success. *What does the n−x represent in theformula? | back 5 the number of failures |

front 6 Suppose a fair die is rolled ten times and the result is recorded each time. Does this constitute a binomial experiment? | back 6 No, because there are more than two outcomes for each trial. |

front 7 Three cards are drawn with replacement from a standard deck, and the number of kings is noted. Does this constitute a binomial experiment? | back 7 Yes, because there are three independent draws. For each draw there are two outcomes(king and not king) and a constant probability of getting a king. |

front 8 random variable has either a finite or countable number of values | back 8 discrete |

front 9 If E represents any event and Upper E Superscript cEc represents the complement of E, then Upper P left parenthesis Upper E Superscript c right parenthesis equalsPEc= | back 9 1-P(E) |

front 10 Twenty percent of adults in a particular community have at least a bachelor's degree. Suppose x is a binomial random variable that counts the number of adults with at least a bachelor's degree in a random sample of 100 adults from the community. Which of the following probability statements indicates the probability that at least 30 adults have at least a bachelor's degree? | back 10 P(x greater than or equal to 30) |

front 11 Use symbols to describe the event that a college student is female or has financial aid. | back 11 AUB |

front 12 Two events E and F are __________ if the occurrence of event E in a probability experiment does not affect the probability of event F. | back 12 independent |

front 13 Consider the binomial probability distribution function Upper P left parenthesis x right parenthesis equals StartFraction 25 exclamation mark Over x exclamation mark left parenthesis 25 minus x right parenthesis exclamation mark EndFraction 0.6 Superscript x Baseline 0.4 Superscript 25 minus xP(x)=25!x!(25−x)!0.6x0.425−x. What is the probability of success? | back 13 0.6 |

front 14 The Addition Rule P(E or F)=P(E)+P(F) applies only to which type of events? | back 14 disjoint |

front 15 Determine whether the distribution is a discrete probability distribution | back 15 No, because the probabilities do not sum to 1. |

front 16 The notation __________ is used for the binomial random variable which counts the number of successes in n independent trials of an experiment. | back 16 x |

front 17 is a numerical measure of the outcome of a probability experiment | back 17 random variable |

front 18 of a probability experiment is the collection of all possible outcomes | back 18 sample space |

front 19 is used for the number of trials in a binomial experiment. | back 19 n |

front 20 Suppose that in a certain community, the probability of a randomly selected individual having red hair is 0.08 and the probability of a randomly selected individual being left-handed is 0.15. What additional information would be needed to find the probability of randomly selecting an individual in this community who has red hair or is left-handed? | back 20 We would need to know the percentage of individuals in the community who have red hair and are left-handed. |

front 21 Use symbols to describe the event that a college student is female and has financial aid. | back 21 A (upsidown U) B |

front 22 If a sample of 100 people is chosen from a town of 100,000 people without replacement, is it reasonable to assume that events are independent | back 22 Yes. Because the sample size is less than 5% of the population size, it is reasonable to treat the events as independent. |

front 23 Suppose two events E and F are disjoint. What is P(E and F)? | back 23 0 |

front 24 Explain how to find the mean of a discrete random variable. | back 24 To find the mean of a random variable, multiply each value of the random variable by its probability and then add those products. |

front 25 Twenty percent of adults in a particular community have at least a bachelor's degree. Suppose x is a binomial random variable that counts the number of adults with at least a bachelor's degree in a random sample of 100 adults from the community. Which of the following probability statements indicates the probability that fewer than 30 adults have at least a bachelor's degree? | back 25 P(x less than 30) |

front 26 Identify the requirements for a discrete probability distribution. | back 26 The sum of the probabilities must equal one. Each probability must be between zero and one inclusive. |

front 27 What does it mean to say that the trials in a binomial experiment are independent of each other? | back 27 The outcome of one trial does not affect the outcomes of the other trials. |

front 28 What is the mean of a probability distribution? | back 28 The mean is the expected value of the random variable |

front 29 How many trials are in the experiment? | back 29 25 |

front 30 Which of the following statements is not true about binomial probability distributions? | back 30 As the probability of success increases, the probability distribution for a binomial variable becomes bell shaped. |

front 31 Suppose you are trying to calculate the probability that someone passes statistics on the first attempt given that they received an A in their previous math course. Which probability do you divide by when using conditional probability rule? | back 31 the probability that someone received an A in their previous math course |

front 32 When a constant is added (or subtracted) to each value of a random variable, which measures do not increase (or decrease) by that same amount? | back 32 measures of spread |

front 33 The probability that a randomly selected adult in a particular community is a smoker is 20%. The probability that a randomly selected adult in the community is a smoker, given that the adult earns more than $75,000 per year, is 10%. Are the events "is a smoker" and "earns more than $75,000 peryear" independent? Explain. | back 33 No, because the probability of smoking is different for people who earn over $75,000 peryear, the events are not independent. |

front 34 How would you find the probability that a man in this age category does NOT die of cancer during the course of the year? | back 34 1-0.003 |

front 35 Which of the following is not a valid explanation of the Law of Large Numbers | back 35 These statements are all valid |

front 36 If two events E and F are independent, then P(E and F)= | back 36 P(E) x P(F) |

front 37 is used for the probability of failure on any trial in a binomial experiment. | back 37 1-p |

front 38 If two events E and F are not independent, then P(E and F)equals= | back 38 P(E) x P(F/E) |

front 39 Cards are drawn with replacement from a standard deck until a king is drawn. Does this constitute a binomial experiment | back 39 No, because there is not a fixed number of trials. |

front 40 When considering events resulting from a single trial, if one event is the complement of anotherevent, must those two events be disjoint | back 40 Yes; There is no overlap between an event occurring and the event not occurring. They are completely separate and disjoint. |

front 41 Suppose you want to know how likely it is that a student graduates with a Bachelor's degree in 4 years if they were in the top 10% of their high school graduating class. Which of the following probabilities will answer your question | back 41 P(earn BS degree|top 10%) |

front 42 is used for the probability of sucess on any trial in a binomial experiment | back 42 p |

front 43 Explain how to read the notation P(E|F). | back 43 the probability of E given F |

front 44 Which terms are used to describe events that have no outcomes in common | back 44 disjoint or mutually exclusive |

front 45 The binomial probability distribution is a __________ probability distribution that describes probabilities for experiments in which there are two __________ outcomes. | back 45 discrete mutually ecxlusive |

front 46 Use symbols to describe the event that a college student is female given that he/she has financial aid. | back 46 A|B |

front 47 random variable has infinitely many values which can be plotted on a number line in an uninterrupted fashion. | back 47 continuous |

front 48 Describe the event C|A in words. | back 48 A college student finishes his/her undergraduate degree in four years given that the student is female. |

front 49 Suppose that a binomial random variable X is counting the number of patients with cancer at a particular hospital. How will "success" be defined in this situation? | back 49 Success would be defined as selecting a patient at the hospital who has cancer. |

front 50 Describe how the value of n affects the shape of the binomial probability histogram. | back 50 As n increases, the binomial distribution becomes more bell-shaped. |

front 51 How would you find the probability that no men out of 1,000 of this age will die of cancer during the course of the year? | back 51 (0.997)^1000 |

front 52 How would you find the probability that at least 1 man out of 1,000 of this age will die of cancer during the course of the year? | back 52 1-(0.997)^1000 |

front 53 Which of the following is not a criterion for the binomial distribution? | back 53 The trials must be dependent. |

front 54 Twenty percent of adults in a particular community have at least a bachelor's degree. Suppose x is a binomial random variable that counts the number of adults with at least a bachelor's degree in a random sample of 100 adults from the community. If you are using the binomial probability formula, which of the following is the most efficient way to calculate the probability that at most 98 adults have a bachelor's degree, P(xless than or equals≤98)? | back 54 1−P(x=99)−P(x=100) |

front 55 Use symbols to describe the event that a college student finishes his/her undergraduate degree in four years if she/he does not have financial aid | back 55 C|B' |