12A bag contains two red, two yellow, and three bluce balls. In an experiment, one ball is drawn from the bag and its color is noted, and then a second half is drawn and its color noted, (i) Draw a tree diagram for this experiment. (ii) How many outcomes are there in the sample space? Gii) What are the outcomes in the event, "two balls of the same color are selected"?
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- In rolling a dice 300 times we get 57 ones, 62 twos, 48 threes, 47 fours, 53 fives and 33 sixes. We wish to determine whether the dice is fair. What is the test statistic value for the goodness-of-fit test in this case?An experiment consists of tossing a coin three times. What is the sample space of this experiment? What subset of outcomes is the event that the experiment results in more heads than tails?Random outcomes For each of the following scenarios,decide if the outcome is random.a) Flip a coin to decide who takes out the trash. Is whotakes out the trash random?b) A friend asks you to quickly name a professionalsports team. Is the sports team named random?c) Names are selected out of a hat to decide roommatesin a dormitory. Is your roommate for the year random?
- A card is selected from the four cards shown, and this spinner is spun. c. Using this sample space, find the probability of getting: (1) an Ace and 1 on the spinner (2) a red card and 1 on the spinner (3) a picture card and 2 on the spinner (4) a black card and an odd number on the spinner (5) not an Ace and 3 on the spinner (6) a blue card and 2 on the spinner7) Four students will be randomly selected from the six top students in mathematics to represent their school in a regional competition. Angela and Brian are among the six students, and they wish to determine the probability that they will both be chosen. Describe (list) the sample space for determining this probability. What is the probability they will both be chosen?An experiment is performed where a 3-color spinner is spun and then a 4-sided die is rolled. The possible outcomes for each event are red (R), blue (B), and yellow (Y) for the 3-color spinner and 1, 2, 3, and 4 for the 4-sided die. Identify the sample space for this experiment.
- 3 coins are tossed and two six-sided dice are rolled. how many possible outcomes are there?. A small-town carnival has a simple game that you can play with a number cube. If you roll a 6 you win a fluffy teddy bear. If you roll a 1, 2, 3, 4, or 5 you get a piece of stale gum. After watching other children play the game 50 times, only 2 children have won a teddy bear. You decide to simulate the game with a random number table. a) Determine labels for your outcomes. b) Using the random number table below, determine how many times a “6” appears in 50 trials. c) What percentage of a “6” in 50 trials did you get from the simulation? d) What percentage of a “6” did you observe at the carnival? e) How do your answers for parts (c) and (d) compare? briefly explain (help me to tackle question "c" "d" and "e" only please)4- In a hospital unit there are 12 nurses and 7 physicians. 6 nurses and 4 physicians are female. If a staff person is selected, find the probability that subject is a nurses or male. Do the sample space.
- Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Draw a tree diagram. Determining a person's entree (steak (S), chicken (C), pork (P)) and vegetable (corn (C), broccoli (B)) Identify the sample space. O A. (SC, SB, CC, CB, PC, PB} O B. (SC, SB, SS, CC, CB, CS, PC, PB, PS} OC. (SC, SB, CC, CB, PC, PB, CC, CB} O D. (SC, SB, SS, CC, CB, CS, PC, PB, PS, CC, CB, CS} There are outcomes in the sample space. Choose the correct tree diagram below. OB. O A. Click to select your answer(s). a 99+ P Type here to search. A small-town carnival has a simple game that you can play with a number cube. If you roll a 6 you win a fluffy teddy bear. If you roll a 1, 2, 3, 4, or 5 you get a piece of stale gum. After watching other children play the game 50 times, only 2 children have won a teddy bear. You decide to simulate the game with a random number table. a) Determine labels for your outcomes. b) Using the random number table below, determine how many times a “6” appears in 50 trials. c) What percentage of a “6” in 50 trials did you get from the simulation? d) What percentage of a “6” did you observe at the carnival? e) How do your answers for parts (c) and (d) compare? What does this tell you about theA coin is flipped once. If the result is a heads, the coin is flipped 2 more times, and the result (heads or tails) of each successive flip is noted. If the result is a tails, the coin is flipped 3 more times and the result of each successive flip is noted. How many possible outcomes are in the sample space of this experiment?