A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions 1 2 3 Households 30 441 724 1404 (a) Use the frequency distribution to construct a probability distribution. P(x) 2 3 (Round to three decimal places as needed.) (b) Graph the probability distribution using a histogram. Choose the correct graph of the distribution below. O A. O B. Oc. AP(X) 0.6- 0.5- 0.4- 0.3- 0.2- 0.1- AP(x) 0.6- 0.5- 0.4- AP(X) 0.6- 0.5- 0.4- 0.3- 0.2- 0.1- Q 0.3- 0.2- 0.1- Taladniane Tatdainne n Tatelalann

Lesson 3: The Hypergeometric Distribution Exit Fullscreen Minds On Action Consolidation Share the following with your teacher. 1. In the Games Fair, which game would work with the hypergeometric distribution? Create the probability distribution table in a spreadsheet where X is a random variable representing the points won. Calculate the expected value and compare to the 10 points it costs to play the game. Create the bar graph in a spreadsheet as well. The Games Fair interactive is here to help with your solution to this question. Games Fair Control sound here Die Roller Games Fair Menu Hello you have 1000 points. Card Flip Experiment Single Coin Flip Four Coin Flip Spinner i Three Prize Roller Marble Draw Four Dice Roller Five Card Shuffler Single Card Flip Word Scramble Ten Spinner Exit Panasonic w W W W m m m

Problem 11 In what follows, describe the random variable X by providing the name of its distribution, its state space, its mean and its variance. Fill in the table below with your answers. a) A fair die is rolled ten times and each time the face up is recorded. Let X be the number of times a number less than 3 has been recorded. b) In recent years, it was found that the average number of earthquakes that occur in a given year in a particular country is 3. Let X be the number of earthquakes that occur in any given year in that country. c) The average length of time until the next customer enters a bank is 3 minutes. Let X be the length of time until the next customer enters the bank. Mean Variance State Space Part Distribution Name a) b) c)

A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions 2 3 Households 26 447 722 1404 (a) Use the frequency distribution to construct a probability distribution. P(x) X 1 (Round to three decimal places as needed.) (b) Graph the probability distribution using a histogram. Choose the correct graph of the distribution below. O A. OB. OC. nel AP(x) Click to select your answer(s). 99+ P Type here to search op 144 fs f4

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K The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (c) below. Click the icon to view the data for fatal crashes in 2016. (a) Among fatal crashes in unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk? The probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately. (Round to three decimal places as needed.) Data table Weather Daylight Dark, but Lighted 5875 497 51 54 255 Normal Rain Snow/Sleet Other Unknown 14,307 875 219 125 810 (...) Dark 8151 681 156 220 548 Dawn/Dusk Other 1183 87 40 71 65 8 2 9 133 X