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Algebra II Mandatory Review Assignment Name________________________ Test 2-4 (Probability and Statistics) This assignment MUST be completed prior to taking this proficiency. SHOW WORK __________________________________________________________________________________________ For 1 – 2, a bag contains 45 red, 20 green, 66 yellow, and 15 purple marbles. Find each theoretical probability. 1) P(not yellow) 2) P(red or green) 1)________________ 2)________________ For 3 – 4, suppose that a dart lands at random on the dartboard shown below. Find each theoretical probability. 3) The dart scores at least 25 points. 4) The dart scores exactly 10 points. 3)________________ 4)________________ For 5 – 6, a standard number cube is tossed. Find each probability. 5) P(odd or less than 5) 6) P(2 or even) 5)________________ 6)________________ For 7 – 8, a jar contains 14 blue marbles and 9 red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble. Find the probability of each event. 7) You select a blue marble and then a red marble. 7)________________ 8) Both of the marbles you select are blue. 8)________________ For 9 – 10, a fruit bowl contains 4 limes, 6 lemons, 3 green apples, 2 red apple and 5 oranges. Suppose you reach into the bowl and select a piece of fruit at random. Find each probability. 9) P(apple or green) 10) P(green or a citrus fruit) 9)________________ 10)_______________ 11) Find the mean, median, and mode of the data below. 13, 55, 20, 41, 17, 52, 24, 46, 27, 41, 38, 45, 38, 51 11) mean_______ median_____ mode_______ 12) Find the 1st and 3rd quartiles of the data below. 87, 95, 3, 15, 38, 41, 42, 62, 54, 54, 79, 20, 23, 23, 63, 47, 33, 31 12) Q1 = ________ Q3 = ________ For 13 – 17, identify the type of sampling used. 13) Every fifth teenager entering a concert is checked for possession of drugs. 13)_______________ 14) At a local community college, five statistics classes are randomly selected and all of the students from each class are interviewed. 14)_______________ 15) Thirty-five freshmen, 42 sophomores, 39 juniors, and 29 seniors are randomly selected from 452 freshmen, 475 sophomores, 517 juniors and 550 seniors at a certain high school. 15)_______________ 16) An internet poll is conducted by ESPN asking which team is going to win the World Series this year. 16)_______________ 17) In an effort to identify whether an advertising campaign has been effective, a marketing firm conducts a nation-wide poll by randomly selecting individuals from a list of known users of the product. 17)_______________ 18) The following is a probability distribution for race found in a public school in San Francisco. Fill in the missing probability. 18)_______________ African American Others Other Asian White Latino Chinese .12 .06 .15 .27 .23 19) Construct a relative frequency distribution and make a relative frequency histogram for the following situation. 19) In a classroom, there are 12 freshmen, 11 sophomores, 8 juniors, and 3 seniors. 20) The table below shows the relationship between calories and fat in nine different hamburgers. Calories 720 Fat (g) 50 530 33 510 31 500 29 305 17 410 23 440 29 20)_______________ 320 16 598 30 Find a linear model where x represents number of calories and y represents number of grams of fat. Round to two decimal places. 21) The table below gives the stopping distance for an automobile under certain road conditions. Speed (mi/h) 30 40 50 60 65 Stopping Distance (ft) 22 44 74 113 136 21)_______________ Find a quadratic model where x represents speed in mi/hr and y represents stopping distance in feet. Round to two decimal places. 22) The table below gives the number of degrees above room temperature for a bath after a period of cooling time. Time (min) °F Above Room Temperature 0 108 10 77 20 46 30 24 40 14 50 8 22)_______________ 60 6 Find an exponential model where x represents time in minutes and y represents °F above room temperature. Round to two decimal places. Answers to Mandatory Review Assignment Test 2-4 (Statistics & Probability) 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 40 or 0.548 73 65 or 0.445 146 9 or 0.5625 16 7 or 0.4375 16 5 6 1 2 63 or 0.249 253 91 or 0.360 253 9 or 0.45 20 9 or 0.9 10 mean = 36.29 median = 39.5 mode = 38 and 41 Q1 = 23 Q2 = 62 Systematic Cluster Stratified Convenience Simple Random 0.17 y = 0.07x – 6.29 y = 0.04x2 – 0.86x + 9.00 y = 117.00(0.95)x