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Name: Date: 1. A spinner numbered 1 through 10 is spun and one die is tossed simultaneously. The nnnaber spun and the number rolled are recorded. How many outcomes are in the sample space? 60 B) 16 / D) 6 2. Three dice are rolled and the number rolled on each die is recorded. The outcomes in the sample space are all equally likely. True False 3. A fair coin is tossed three times. Find the probability of getting exactly 2 heads. A) 1/2 B) 1/3 C) 2/3 3/8 of the letters a, b, c, d, or ffollowed 4. We need to create serial numbers by three non-repeating digits. How many serial numbers can be created? ÿ A) 5000 B) 2520 C) 725 3600 5. Either Tero,, Chris, or Kim will attend a party. The probability Teny attends is 0.31 and the probability Chris attends is 0.5. What is the probability that Kim attends? A) 0.33 B) 0.5 c) o,81 ÿ- @0.19 Page 1 . If there is a 0.8 probability of rain today, what is the probability it will not rain? A) 0.8 B) O.5 I' 0,2 D) 0.1 . A sample space has three outcomes, A, B, and C. The probability of omcome A is 0.39 and the probability of outcome B is 0.25. What is the probability of outcome C? 0.36 0.33 I C) 0.5 D) 0.64 aS v ."b G 8. A raffle ticket costs $5. First and second prize winners will be drawn at random. The probability of winning file $100 first prize is 1/40 and the probability of winning the $25 second prize is 1/20. What is the mean winnings for one play, taking into account the 5 cost of the ticket? -1.25 s B) -0.875 ÿd C) 3.375 D) 3.75 9. At a cmÿain discount store, the number of people in checkout lines varies. The probability model for the number of people in a randomly chosen line is: Number in line Probability 0 1 2 0.08 0.15 0.20 3 4 0.22 0.15 5 0.20 What is the mean number of people in a line? A) 2.5 . ,ÿ (.ÿ) 2.81 D) 2.89 10. The length of students' college careers at Anytown University is known to be normally distributed, with a mean length of 5.5 years and a standard deviation of 1,75 years. What is the lower quartile for the length of students' careers at Anytown University? A) 4.83 years (-ÿ) [ÿ 3.75 years <'6 ÿ,ÿ') 4.3275 years--ÿ,.-w,]ÿ ÿ(,3q) 2,75 years 2) t 5' " 'ÿ- Page 2 3 '/j .5 _ <° , . 11. The scores of students on a standardized test are normally distributed with a mean of of the test 300 and a standard deviation of 40. Between what two va scores lie? A) 260 to 340 B) 220to 380 C) 297to 303 180 to 420 12. The batteries used by a calculator have useful lives that follow a normal distribution, with an average life of 2000 hours and a standard deviation of 200 hours. In the production process, the manufacturer draws random samples of 100 batteries and determines the mean useful life of the sample. What is the standard deviation tsx of this mean? A) 25 hours B) 100 hours 2 hours 20 hours 13. A game consists of rolling a regular die. You pay $5 to play the game, and the $5 is not returned. If you roll a 1 or 2, you win $6. If you roll a 3, 4, 5, or 6, you win nothing. What is the mean value for this game, taking into account the $5 cost of the game? _ÿ-$5 -$3 c) $ÿ ,'ÿ ,ÿ.z_. (J"ÿ D) $3 Page 3 ÿ"