CH. 11 Test Study Guide Name__________________________________ Algebra 2 – Mr. Flood Period __________________________ Evaluate the expression. 1) 6! 3) 7 2) 11 P9 C3 4) A salad bar offers eight choices of toppings for a salad. In how many ways can you choose four toppings? 5) 20 people buy raffle tickets. The first ticket receives $10, the second receives $5, and the third receives $1. In how many different ways can you draw three winning tickets? 6) A bag contains 10 blue marbles, 5 red marbles, 7 green marbles, and 3 black marbles. You pick one from the bag at random. Find the theoretical probability of the following… a) P(green) b) P(not red) c) P(green or blue) 7) You flip a coin 40 times and it landed on tails 24 times. What is the experimental probability of flipping a tails? 8) About 30% of the population is under 20 years old. About 17% of the population is over 60. What is the probability that a person chosen at random is under 20 or over 60? 9) Two fair number cubes are rolled. State whether the events are mutually exclusive. Explain why or why not. The sum is a prime number; the sum is less than 4. 10) A jar contains four blue marbles and two red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble. Find the probability of selecting a blue marble AND then a red marble. Use the table to answer the conditional probability questions #11-12. Hardback Illustrated 420 590 150 110 Fiction Non-fiction Fiction Non-fiction Paperback Non-Illustrated 780 250 430 880 . 11) What is the probability that a book selected at random is a paperback, given that it is illustrated? 12) What is P(nonfiction | non-illustrated hardback)? 13) A class of 25 students wants to choose 3 students at random to bring food for a class party. The students line up alphabetically, and each one in succession flips a fair coin. The first three students to flip heads bring the food. Is this a fair decision? Explain why or why not. 14) Create a box and whisker plot for the following data for water temperatures each month in St. Petersburg, Florida. Jan 62 Feb 64 Mar 68 Apr 74 May 80 Jun 84 Jul 86 Aug 86 Sep 84 Oct 78 Nov 70 Dec 64 15) For question #14, what is the range? What is the mean? Range =______________ Mean = ________________ 16) For 2001, the farm incomes of which states are not within one standard deviation of the mean? 17) A set of data has a normal distribution with a mean of 29 and a standard deviation of 4. Draw a picture of the normal curve with 3 standard deviations above and below the mean. Find the percent of data that falls from 25 to 33.
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