Practice Questions for Midterm

Practice Questions for Midterm - Below is a list of sample...

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Below is a list of sample questions for the midterm. Our midterm will be multiple choice only but the problems at the end of this file are good practice for the multiple choice. Use this as a guide only!!!!! This does not substitute for studying notes and reading the textbook. Use the following to answer questions 1 and 2: If you draw an M&M candy at random from a bag of the candies, the candy you draw will have one of six colors. The probability of drawing each color depends on the proportion of each color among all candies made. Assume the table below gives the probability that a randomly chosen M&M has each color. Color Brown Red Yellow Green Orange Tan Probability .3 .3 ? .1 .1 .1 1. The probability that I do not draw a red candy is A) .1. B) .3. C) .7. D) .9. 2. The probability that I draw either a brown or a green candy is 3. A phone-in poll conducted by a newspaper reported that 73% of those who called in liked business tycoon Donald Trump. The unknown true percentage of American citizens who like Donald Trump is a 4. Suppose there are three balls in a box. On one of the balls is the number 1, on another is the number 2, and on the third is the number 3. You select two balls at random and without replacement from the box and note the two numbers observed. The sample space S consists of the three equally likely outcomes {(1, 2), (1, 3), (2, 3)}. Let X be the product of the two balls selected. Which of the following is the correct set of probabilities for X ? X P( X ) 2 1/3 3 1/3 6 1/3 X P( X ) 1 1/3 2 1/3 3 1/3 X P( X ) 2 ½ 3 ¼ 6 ¼ Page 1

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X P( X ) 2 ½ 3 1/3 6 1/6 5. An importer is offered a shipment of Chinese antique tables for \$6,000, and the probabilities that he will be able to sell the group of tables for \$10,000, \$8,500, \$6,000, and 4,500 are, respectively 0.25, 0.46, 0.19, 0.10. If he buys the shipment, what is his expected gross profit ? A) \$6,000 B) \$7250 C) \$8000 D) \$2000 6. A basketball player makes 100 out of 300 free throws. We would estimate the probability that the player misses his next free throw to be Use the following to answer questions 7 and 8: The table below shows responses to the question "At which venue did you most recently see a concert?" The survey was sent to a random sample of users of an online ticketing service. Age/Venue Red Rocks Pepsi Center Boulder Theater 25 and younger 120 150 52 Older than 25 68 186 96
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