Exam 8: Random Sampling and Probability

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Events that occur only rarely have a probability equal to 0.00.

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The probability of correctly guessing a two digit number is _________.

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Let's assume you are having a party and have stocked your refrigerator with beverages. You have 12 bottles of Coors beer, 24 bottles of Rainier beer, 24 bottles of Schlitz light beer, 12 bottles of Hamms beer, 2 bottles of Heineken dark beer and 6 bottles of Pepsi soda. You go to the refrigerator to get beverages for your friends. In answering the following question assume you are randomly sampling without replacement. What is the probability your first three bottles selected are Pepsi's?

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B

A "hungry" undergraduate student was looking for a way of making some extra money. The student turned to a life of vice - gambling. To be a good gambler, he needed to know the probability of certain events. Help him out by answering the following question. The probability of rolling "boxcars" (two sixes) with one roll of a pair of fair dice is _________.

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Captain Kirk and Mr. Spock are engaged in a 3-D backgammon playoff, a game employing 6 dice. Kirk asks Spock the probability of rolling the dice and observing 6 sixes. Assume the dice are not biased. Spock's correct a priori reply is _________.

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The addition and multiplication rules can apply to any number of events.

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A famous hypnotist performs in Meany Hall before a crowd of 350 students and 180 non-students. The hypnotist knows from previous experience that one-half of the students and two-thirds of the non-students are hypnotizable. What is the probability that a randomly chosen person from the audience will be hypnotizable or will be a non-student?

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Define exhaustive set of events.

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If a stranger gives you a coin and you toss it 1,000,000 times and it lands on heads 600,000 times, what is p (Heads) for that coin?

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What is the definition of probability when the variable is continuous?

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If A and B are independent then p ( B | A ) = p ( A ) or p ( B ).

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The probability of correctly calling 4 tosses of an unbiased coin in a row equals _________.

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The multiplication and addition rules can be applied together in the same problem in order to calculate probabilities under some circumstances.

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If the average survival of a red cell in the human body is 120 days with a standard deviation of 8 days, what is the probability for each of the following events? Assume a normal distribution. If the average survival of a red cell in the human body is 120 days with a standard deviation of 8 days, what is the probability for each of the following events? Assume a normal distribution.

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Define probability.

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Suppose you are going to randomly order individuals A , B , C , D , E and F . The probability the order will begin A B _ _ _ _ is _________.

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Define Independence of two events.

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A gambler gives you a coin that he tells you is a "trick" coin. That is, the probability of getting a head does not equal the probability of getting a tail. To use the coin to your advantage you need to know the probability of obtaining a head; i.e., p ( H ). A gambler gives you a coin that he tells you is a trick coin. That is, the probability of getting a head does not equal the probability of getting a tail. To use the coin to your advantage you need to know the probability of obtaining a head; i.e., p ( H ).

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The probability of rolling an even number or a one on a throw of a single die equals _________.

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If you have 15 red socks (individual, not pairs), 24 green socks, 17 blue socks, and 100 black socks, what is the probability you will reach in the drawer and randomly select a pair of green socks? (Assume sampling without replacement.)

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