red_pe_ch_10.pdf

# 5 logic a pollster surveys randomly selected

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5. LOGIC A pollster surveys randomly selected individuals about an upcoming election. Do you think the pollster will use experimental probability or theoretical probability to make predictions? Explain. 9 +(-6)=3 3 +(-3)= 4 +(-9)= 9 +(-1)= 1 2 Times spun Spinning a Spinner 6 8 10 0 2 4 12 1 2 3 4 5 6 Number spun

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418 Chapter 10 Probability and Statistics Use the spinner to find the theoretical probability of the event. 15. Spinning red 16. Spinning a 1 17. Spinning an odd number 18. Spinning a multiple of 2 19. Spinning a number less than 7 20. Spinning a 9 21. LETTERS Each letter of the alphabet is printed on an index card. What is the theoretical probability of randomly choosing any letter except Z? 22. GAME SHOW On a game show, a contestant randomly chooses a chip from a bag that contains numbers and strikes. The theoretical probability of choosing a strike is 3 10 . The bag contains 9 strikes. How many chips are in the bag? 23. MUSIC The theoretical probability that a pop song plays on your MP3 player is 0.45. There are 80 songs on your MP3 player. How many of the songs are pop songs? 24. MODELING There are 16 females and 20 males in a class. a. What is the theoretical probability that a randomly chosen student is female? b. One week later, there are 45 students in the class. The theoretical probability that a randomly chosen student is a female is the same as last week. How many males joined the class? The bar graph shows the results of spinning the spinner 200 times. Compare the theoretical and experimental probabilities of the event. 25. Spinning a 4 26. Spinning a 3 27. Spinning a number greater than 4 28. Should you use theoretical or experimental probability to predict the number of times you will spin a 3 in 10,000 spins? 29. NUMBER SENSE The table at the right shows the results HH HT TH TT 2 6 3 1 of flipping two coins 12 times each. a. What is the experimental probability of flipping two tails? Using this probability, how many times can you expect to flip two tails in 600 trials? b. The table at the left shows the results of flipping the same two coins 100 times each. What is the experimental probability of flipping two tails? Using this probability, how many times can you expect to flip two tails in 600 trials? c. Why is it important to use a large number of trials when using experimental probability to predict results? b. HH HT TH TT 23 29 26 22 1 6 5 4 3 2 5 10 20 30 40 50 60 0 1 41 2 3 39 4 Number spun Times spun Spinning a Spinner 5 40 43 37 2 1 5 4 3 3 4
Section 10.3 Experimental and Theoretical Probability 419 Find the annual interest rate. (Section 6.7) 35. I = \$16, P = \$200, t = 2 years 36. I = \$26.25, P = \$500, t = 18 months 37. MULTIPLE CHOICE The volume of a prism is 9 cubic yards. What is its volume in cubic feet? (Section 9.4) A 3 ft 3 B 27 ft 3 C 81 ft 3 D 243 ft 3 You roll a pair of number cubes 60 times. You record your results in the bar graph shown.

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